Geometry Tutor Worksheet 9 Quadrilaterals
|
|
- Arthur Emory Cooper
- 5 years ago
- Views:
Transcription
1 Geometry Tutor Worksheet 9 Quadrilaterals 1
2 Geometry Tutor - Worksheet 9 - Quadrilaterals 1. Which name best describes quadrilateral DEFG? 2. Which name best describes quadrilateral ABCD? 3. Which name best describes quadrilateral QRST? 2
3 4. Which name best describes quadrilateral WXYZ? 5. Which name best describes quadrilateral MNOP? 6. Which name best describes quadrilateral HJKL? 3
4 7. Quadrilateral ABCD is a parallelogram. What are the lengths of sides AD and CD and the measures of C and D? 8. Quadrilateral WXYZ is a trapezoid. What is the length of side XY and what are the measures of W, Y, and Z? 4
5 9. Given quadrilateral DEFG is a kite. What are the lengths of sides DG and FG and the measures of E and G? 10. Quadrilateral FGHJ is a rhombus. What are the lengths of sides GH, HJ, and JF and the measures of H and J? 5
6 11. Given quadrilateral ABCD is a trapezoid. What are the measures of A and D? 12. Given quadrilateral DEFG. What is the measure of F? 6
7 13. What is the best name for quadrilateral WXYZ? 14. Quadrilateral QRST is a parallelogram. What is the measure of S? 7
8 15. Quadrilateral VWXY is a parallelogram. What is the measure of WYX? 16. Quadrilateral JKLM is a parallelogram, MK = 12, and YL = 9. What are the lengths of MY, KY, JY, and JL? 8
9 17. Quadrilateral BCDE is a parallelogram. What are the measures of BDC and BCD? 18. Quadrilateral WXYZ is a parallelogram. What is the value of x and what is the measure of W? 9
10 19. Quadrilateral UVWX is a parallelogram. What is the value of x and what are the measures of X and W? 20. Quadrilateral RSTU is a parallelogram. What is the value of x and what are the lengths of RS, and TU? 10
11 21. Quadrilateral JKLM is a parallelogram. What is the value of x and what are the measures of J and M? 22. Quadrilateral JKLM is a rectangle, MU = 3x + 6, and JU = 4x 4. What is the value of x and what is the length of MK? 11
12 23. Quadrilateral DEFG is a parallelogram. What is the value of x and what are the measures of D and E? 24. Quadrilateral RSTU is a parallelogram, m RSU = 2x + 14 and m TSU = 2x 7. What is the value of x? 12
13 25. Quadrilateral STUV is a parallelogram, TE = 8 + 4x, and EV = 8x 8. What is the value of x? 13
14 Answers - Geometry Tutor - Worksheet 9 - Quadrilaterals 1. Which name best describes quadrilateral DEFG? Quadrilateral DEFG has four right angles, but all sides are not congruent. Thus, it is a rectangle. Answer: rectangle 2. Which name best describes quadrilateral ABCD? Quadrilateral ABCD has four congruent sides, but the angles are not congruent. Thus, it is a rhombus. Answer: rhombus 3. Which name best describes quadrilateral QRST? 14
15 Quadrilateral QRST has two pairs of consecutive congruent sides. Thus, it is a kite. Answer: kite 4. Which name best describes quadrilateral WXYZ? Quadrilateral WXYZ has exactly one pair of parallel sides. Thus, it is a trapezoid. Answer: trapezoid 5. Which name best describes quadrilateral MNOP? 15
16 Quadrilateral MNOP has four right angles and four congruent sides. Thus, it is a square. Answer: square 6. Which name best describes quadrilateral HJKL? Quadrilateral HJKL has two pairs of opposite parallel sides. Thus, it is a parallelogram. Answer: parallelogram 7. Quadrilateral ABCD is a parallelogram. 16
17 What are the lengths of sides AD and CD and the measures of C and D? Since quadrilateral ABCD is a parallelogram, opposite angles are congruent and opposite side are congruent. Answer: AD = 8, CD = 15, m C = 97, and m D = Quadrilateral WXYZ is a trapezoid. What is the length of side XY and what are the measures of W, Y, and Z? Since quadrilateral WXYZ is a trapezoid, the figure contains exactly one pair of parallel sides. Thus the angled sides are both transversals cutting two parallel lines and adjacent angles on each side of the trapezoid are supplementary because they are same side interior angles. Furthermore, since the base angles, Y and Z, are shown to be congruent, the figure is an isosceles trapezoid, so the slanted sides have the same length. Answer: XY = 9, m W = 106, m Y = 74, and m Z = 74 17
18 9. Given quadrilateral DEFG is a kite. What are the lengths of sides DG and FG and the measures of E and G? The properties of kites include two pairs of consecutive congruent sides and exactly one pair of congruent opposite angles. Thus, m E = m G. Since the figure is a quadrilateral, the sum of the interior angles is 360, so x = 360; x = 360; 2x = 220; x = 110 Answer: DG = 14, FG = 11, m E = 110, and m G = Quadrilateral FGHJ is a rhombus. What are the lengths of sides GH, HJ, and JF and the measures of H and J? Since the figure is a rhombus, all sides have the same length and opposite angles have the same measure. Answer: GH = 12.9, HJ = 12.9, JF = 12.9, m H = 104. and m J = 76 18
19 11. Given quadrilateral ABCD is a trapezoid. What are the measures of A and D? Since quadrilateral WXYZ is a trapezoid, the figure contains exactly one pair of parallel sides. Thus the angled sides are both transversals cutting two parallel lines. Thus, adjacent angles on each side of the trapezoid are supplementary because they are same side interior angles. Answer: m A = 60 and m D = Given quadrilateral DEFG. What is the measure of F? The sum of the interior angles of a quadrilateral is 360, so m F = 360; m F = 360; m F = 98 Answer: 98 19
20 13. What is the best name for quadrilateral WXYZ? The figure shows congruent base angles in both the top and the bottom of the quadrilateral so it s isosceles. Furthermore, the figure has exactly one set of parallel sides, so it s a trapezoid. Answer: isosceles trapezoid 14. Quadrilateral QRST is a parallelogram. What is the measure of S? In a parallelogram, opposite angles are congruent to each other. Answer:
21 15. Quadrilateral VWXY is a parallelogram. What is the measure of WYX? In a parallelogram, adjacent angles are supplementary, so 60 + (52 + m WYX) = 180; m WYX = 180; m WYX = 68 Answer: Quadrilateral JKLM is a parallelogram, MK = 12, and YL = 9. What are the lengths of MY, KY, JY, and JL? In a parallelogram, the diagonals bisect each other. Thus, MY KY and LY YJ. Therefore, MY + KY = 2MY = 2 KY = 12, so MY = KY = 6, and YL = JY = 9, so 2YL = 2JY = 18. Answer: MY = 6, KY = 6, JY = 9, and JL = 18 21
22 17. Quadrilateral BCDE is a parallelogram. What are the measures of BDC and BCD? In a parallelogram, opposite angles are congruent and adjacent angles are supplementary, so 55 + (62 + m BDC) = 180; m BDC = 180; m BDC = 63 Answer: m BDC = 63, m BCD = Quadrilateral WXYZ is a parallelogram. What is the value of x and what is the measure of W? In a parallelogram, opposite angles are congruent and adjacent angles are supplementary, so 80 + (11x 10) = 180; x = 180; 11x = 110; x = 10 Then 11(10) 10 = = 100 Answer: x = 10, m W =
23 19. Quadrilateral UVWX is a parallelogram. What is the value of x and what are the measures of X and W? In a parallelogram, adjacent angles are supplementary, so (6x + 15) + (9x + 15) = 180; 15x + 30 = 180; 15x = 150; x = 10 Then 6(10) + 15 = 75, and 9(10) + 15 = 105. Answer: m X = 75, m W = Quadrilateral RSTU is a parallelogram. What is the value of x and what are the lengths of RS, and TU? In a parallelogram opposite sides are congruent, so 2x + 15 = x + 15; x = 0. Then, RS = = 15 and TU = 2(0) + 15 = 15. Answer: x = 0, RS = 15, TU = 15 23
24 21. Quadrilateral JKLM is a parallelogram. What is the value of x and what are the measures of J and M? In a parallelogram, adjacent angles are supplementary, so (13x) + (5x) = 180; 18x = 180; x = 10 Then 13(10) = 130, and 5(10) = 50. Answer: m J = 130, m M = Quadrilateral JKLM is a rectangle, MU = 3x + 6, and JU = 4x 4. What is the value of x and what is the length of MK? In a rectangle, the diagonals are congruent and bisect each other. Thus, MU KU JU LU, so MU = JU; 3x + 6 = 4x 4; x = 10 Then MU = 3(10) + 6 = 36 and MK = 2MU = 2(36) = 72. Answer: x = 10, MK = 72 24
25 23. Quadrilateral DEFG is a parallelogram. What is the value of x and what are the measures of D and E? In a parallelogram, adjacent angles are supplementary and opposite angles are congruent, so 3x + 11 = 5x 9; 2x = 20; x = 10 and m E = 5(10) 9 = 41. Answer: m D = 139 and m E = Quadrilateral RSTU is a parallelogram, m RSU = 2x + 14 and m TSU = 2x 7. What is the value of x? In a parallelogram, adjacent angles are supplementary, so (2x + 14) + (2x 7) = x + 7 = x = 180 4x = 48 x = 12 Answer: 12 25
26 25. Quadrilateral STUV is a parallelogram, TE = 8 + 4x, and EV = 8x 8. What is the value of x? In a parallelogram, the diagonals bisect each other, so TE EV and TE = EV, so 8 + 4x = 8x 8; 4x = 16; x = 4 Answer: 4 26
Downloaded from
1 IX Mathematics Chapter 8: Quadrilaterals Chapter Notes Top Definitions 1. A quadrilateral is a closed figure obtained by joining four points (with no three points collinear) in an order. 2. A diagonal
More information6-1. Angles of Polygons. Lesson 6-1. What You ll Learn. Active Vocabulary
6-1 Angles of Polygons What You ll Learn Skim Lesson 6-1. Predict two things that you expect to learn based on the headings and figures in the lesson. 1. 2. Lesson 6-1 Active Vocabulary diagonal New Vocabulary
More informationSecondary 2 Unit 7 Test Study Guide
Class: Date: Secondary 2 Unit 7 Test Study Guide 2014-2015 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which statement can you use to conclude that
More informationGeometry Chapter 8 8-5: USE PROPERTIES OF TRAPEZOIDS AND KITES
Geometry Chapter 8 8-5: USE PROPERTIES OF TRAPEZOIDS AND KITES Use Properties of Trapezoids and Kites Objective: Students will be able to identify and use properties to solve trapezoids and kites. Agenda
More informationWarm-Up Exercises. Find the value of x. 1. ANSWER 65 ANSWER 120
Warm-Up Exercises Find the value of x. 1. 65 2. 120 Warm-Up Exercises Find the value of x. 3. 70 EXAMPLE Warm-Up 1Exercises Identify quadrilaterals Quadrilateral ABCD has at least one pair of opposite
More informationGeometry Unit 6 Note Sheets. Name of Lesson. 6.1 Angles of Polygons 1.5 days. 6.2 Parallelograms 1 day. 6.3 Tests for Parallelograms 1.
Date Name of Lesson 6.1 Angles of Polygons 1.5 days 6.2 Parallelograms 1 day 6.3 Tests for Parallelograms 1.5 days Quiz 6.1-6.3 0.5 days 6.4 Rectangles 1 day 6.5 Rhombi and Squares 1 day 6.6 Trapezoids
More informationGeometry - Chapter 6 Review
Class: Date: Geometry - Chapter 6 Review 1. Find the sum of the measures of the angles of the figure. 4. Find the value of x. The diagram is not to scale. A. 1260 B. 900 C. 540 D. 720 2. The sum of the
More informationUnit 6: Quadrilaterals
Name: Period: Unit 6: Quadrilaterals Geometry Honors Homework Section 6.1: Classifying Quadrilaterals State whether each statement is true or false. Justify your response. 1. All squares are rectangles.
More informationSOLUTION: The trapezoid ABCD is an isosceles trapezoid. So, each pair of base angles is congruent. Therefore,
Find each measure. 1. The trapezoid ABCD is an isosceles trapezoid. So, each pair of base angles is congruent. Therefore, 2. WT, if ZX = 20 and TY = 15 The trapezoid WXYZ is an isosceles trapezoid. So,
More information1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable
Four sided polygon 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable Foldable The fold crease 2. Now, divide the right hand section
More informationPolygon Unit Test Review
Name Hour Polygon Unit Test Review Directions: You must show all work for all problems below. For the problems where you have a quadrilateral and use their properties, justify the set up, and provide the
More informationRegents Exam Questions G.G.69: Quadrilaterals in the Coordinate Plane 2
Regents Exam Questions G.G.69: Quadrilaterals in the Coordinate Plane 2 www.jmap.org Name: G.G.69: Quadrilaterals in the Coordinate Plane 2: Investigate the properties of quadrilaterals in the coordinate
More informationUnit 6 Quadrilaterals
Unit 6 Quadrilaterals ay lasswork ay Homework Monday Properties of a Parallelogram 1 HW 6.1 11/13 Tuesday 11/14 Proving a Parallelogram 2 HW 6.2 Wednesday 11/15 Thursday 11/16 Friday 11/17 Monday 11/20
More informationHonors Geometry Chapter 6 Supplement. Q (4x) (5x)
Honors Geometry hapter 6 upplement Name: 1. Given: Q m Q = (4x) m Q = (5x) m Q = 40 m Q = 32 Find the value of x, m Q, m Q, m Q Q (4x) (5x) 40 32 2. Given: m = (8x + 20) m = (150 6x) m = (12x + 60) a)
More informationProperties of Special Parallelograms
Properties of Special Parallelograms Lab Summary: This lab consists of four activities that lead students through the construction of a trapezoid. Students then explore the shapes, making conclusions about
More informationDate: Period: Quadrilateral Word Problems: Review Sheet
Name: Quadrilateral Word Problems: Review Sheet Date: Period: Geometry Honors Directions: Please answer the following on a separate sheet of paper. Completing this review sheet will help you to do well
More informationAll in the Family. b. Use your paper tracing to compare the side lengths of the parallelogram. What appears to be true? Summarize your findings below.
The quadrilateral family is organized according to the number pairs of sides parallel in a particular quadrilateral. Given a quadrilateral, there are three distinct possibilities: both pairs of opposite
More informationGeometry Unit 5 Practice Test
Name: Class: Date: ID: X Geometry Unit 5 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x in the rectangle? Hint: use
More informationParallels and Euclidean Geometry
Parallels and Euclidean Geometry Lines l and m which are coplanar but do not meet are said to be parallel; we denote this by writing l m. Likewise, segments or rays are parallel if they are subsets of
More informationReview Questions for Unit Exam 32 Geometry
Review Questions for Unit Exam 32 Geometry 1.Intheaccompanyingdiagramof parallelogramabcd,diagonals AC and BD intersectate,ae&=3x& 4,andEC&=x&+12. Whatisthevalueofx? (1)8 (3)20 (2)16 (4)40 2.Intheaccompanyingdiagramof
More informationIndicate whether the statement is true or false.
MATH 121 SPRING 2017 - PRACTICE FINAL EXAM Indicate whether the statement is true or false. 1. Given that point P is the midpoint of both and, it follows that. 2. If, then. 3. In a circle (or congruent
More informationGeometry. a) Rhombus b) Square c) Trapezium d) Rectangle
Geometry A polygon is a many sided closed shape. Four sided polygons are called quadrilaterals. Sum of angles in a quadrilateral equals 360. Parallelogram is a quadrilateral where opposite sides are parallel.
More informationTo Explore the Properties of Parallelogram
Exemplar To Explore the Properties of Parallelogram Objective To explore the properties of parallelogram Dimension Measures, Shape and Space Learning Unit Quadrilaterals Key Stage 3 Materials Required
More information6. Which angles in the diagram are congruent to 1? Choose all that apply. 2. m YKZ
PRYZ is a rhombus. If RK = 5, RY = 13 and m YRZ = 67, find each measure. Quadrilateral GHJK is a rectangle and m 1 = 37. 1. KY 6. Which angles in the diagram are congruent to 1? Choose all that apply.
More information16. DOK 1, I will succeed." In this conditional statement, the underlined portion is
Geometry Semester 1 REVIEW 1. DOK 1 The point that divides a line segment into two congruent segments. 2. DOK 1 lines have the same slope. 3. DOK 1 If you have two parallel lines and a transversal, then
More informationGeometry Topic 4 Quadrilaterals and Coordinate Proof
Geometry Topic 4 Quadrilaterals and Coordinate Proof MAFS.912.G-CO.3.11 In the diagram below, parallelogram has diagonals and that intersect at point. Which expression is NOT always true? A. B. C. D. C
More information9.5 Properties and Conditions for Kites and Trapezoids
Name lass ate 9.5 Properties and onditions for Kites and Trapezoids ssential uestion: What are the properties of kites and trapezoids? Resource Locker xplore xploring Properties of Kites kite is a quadrilateral
More information6-3 Conditions for Parallelograms
Warm Up Justify each statement. 1. 2. Reflex Prop. of Conv. of Alt. Int. s Thm. Evaluate each expression for x = 12 and y = 8.5. 3. 2x + 7 4. 16x 9 31 183 5. (8y + 5) 73 Objective Prove that a given quadrilateral
More informationTitle: Quadrilaterals Aren t Just Squares
Title: Quadrilaterals ren t Just Squares Brief Overview: This is a collection of the first three lessons in a series of seven lessons studying characteristics of quadrilaterals, including trapezoids, parallelograms,
More informationA. 100 B. 110 C. 115 D. 145 E. 210
Practice Quiz Polygons Area Perimeter Volume 1. Two angles of a hexagon measure 140 each. The other four angles are equal in measure. What is the measure of each of the other four equal angles, in degrees?
More information(A) Circle (B) Polygon (C) Line segment (D) None of them (A) (B) (C) (D) (A) Understanding Quadrilaterals <1M>
Understanding Quadrilaterals 1.A simple closed curve made up of only line segments is called a (A) Circle (B) Polygon (C) Line segment (D) None of them 2.In the following figure, which of the polygon
More informationDiscussion: With a partner, discuss what you believe a parallelogram is? Parallelogram Definition:
Name: Ms. Ayinde Date: Geometry CC 4.2: Properties of Parallelograms Objective: To recognize and apply properties of sides, angles, and diagonals of parallelograms. To determine the area and perimeter
More information(A) Circle (B) Polygon (C) Line segment (D) None of them
Understanding Quadrilaterals 1.The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60 degree. Find the angles of the parallelogram.
More informationAW Math 10 UNIT 6 SIMILARITY OF FIGURES
AW Math 10 UNIT 6 SIMILARITY OF FIGURES Assignment Title Work to complete Complete 1 Review Proportional Reasoning Cross Multiply and Divide 2 Similar Figures Similar Figures 3 4 Determining Sides in Similar
More informationGeometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1
Postulates and Theorems from Chapter 1 Postulate 1: The Ruler Postulate 1. The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1. 2. Once
More informationAre You Ready? Find Perimeter
SKILL 3 Find Perimeter Teaching Skill 3 Objective Find the perimeter of figures. Instruct students to read the definition at the top of the page. Stress that the shape of the figure does not matter the
More information3. Given the similarity transformation shown below; identify the composition:
Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the
More informationSemester A Review Answers. 1. point, line, and plane. 2. one. 3. three. 4. one or No, since AB BC AC 11. AC a. EG FH.
1. point, line, and plane 2. one 3. three 4. one 5. 18 or 8 6. b 23, c 30 7. No, since C C 8. 8 9. x 20 10. C 470 11. C 12 12. x 10 13. x 25 14. x 25 15. a. EG FH b. EG 43 16. m 2 55 o 17. x 30 18. m 1
More informationKCATM Geometry
Name School KCATM Geometry 9 10 2013 1) Find the minimum perimeter of a rectangle whose area is 169 square meters. a) 42 meters b) 13 meters c) 26 meters d) 52 meters 2) Find the coordinates of the midpoint
More information6.2 Slopes of Parallel and Perpendicular Lines
. Slopes of Parallel and Perpendicular Lines FOCUS Use slope to find out if two lines are parallel or perpendicular. These two lines are parallel. Slope of line AB Slope of line CD These two lines have
More informationWorksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics
Worksheet 10 Memorandum: Construction of Geometric Figures Grade 9 Mathematics For each of the answers below, we give the steps to complete the task given. We ve used the following resources if you would
More informationFair Game Review. Chapter 7. Name Date
Name Date Chapter 7 Fair Game Review Use a protractor to find the measure of the angle. Then classify the angle as acute, obtuse, right, or straight. 1. 2. 3. 4. 5. 6. 141 Name Date Chapter 7 Fair Game
More informationAssignment Assigned Date Due Date Grade 4.7 Worksheet
Geometry Unit 4 and 5: Packet 2 QUADRILATERALS This is a packet containing the homework and some classwork for the first half of the first unit of geometry. This MUST be completed and turned in before
More information6-5 P R OV I N G R H O M B U S E S, R E C TA N G L E S, A N D S Q UA R E S
6-5 P R OV I N G R H O M B U S E S, R E C TA N G L E S, A N D S Q UA R E S Workbook page 261, number 13 Given: ABCD is a rectangle Prove: EDC ECD A D E B C Statements Reasons 1) ABCD is a rectangle 1)
More informationAreas of Tropezoids, Rhombuses, and Kites
102 Areas of Tropezoids, Rhombuses, and Kites MathemaHcs Florida Standards MAFS.912.G-MG.1.1 Use geometric shapes, their measures, and their properties to describe objects. MP1. MP3, MP 4,MP6 Objective
More informationUNIT 6 SIMILARITY OF FIGURES
UNIT 6 SIMILARITY OF FIGURES Assignment Title Work to complete Complete Complete the vocabulary words on Vocabulary the attached handout with information from the booklet or text. 1 Review Proportional
More information0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?
0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB # AC. The measure of!b is 40. 1) a! b 2) a! c 3) b! c 4) d! e What is the measure of!a? 1) 40 2) 50 3) 70
More information18 Two-Dimensional Shapes
18 Two-Dimensional Shapes CHAPTER Worksheet 1 Identify the shape. Classifying Polygons 1. I have 3 sides and 3 corners. 2. I have 6 sides and 6 corners. Each figure is made from two shapes. Name the shapes.
More informationWhat You ll Learn. Why It s Important
Many artists use geometric concepts in their work. Think about what you have learned in geometry. How do these examples of First Nations art and architecture show geometry ideas? What You ll Learn Identify
More informationG.SRT.B.5: Quadrilateral Proofs
Regents Exam Questions G.SRT.B.5: Quadrilateral Proofs www.jmap.org Name: G.SRT.B.5: Quadrilateral Proofs 1 Given that ABCD is a parallelogram, a student wrote the proof below to show that a pair of its
More informationG.SRT.B.5: Quadrilateral Proofs
Regents Exam Questions G.SRT.B.5: Quadrilateral Proofs www.jmap.org Name: G.SRT.B.5: Quadrilateral Proofs 1 Given that ABCD is a parallelogram, a student wrote the proof below to show that a pair of its
More informationAnalytic Geometry EOC Study Booklet Geometry Domain Units 1-3 & 6
DOE Assessment Guide Questions (2015) Analytic Geometry EOC Study Booklet Geometry Domain Units 1-3 & 6 Question Example Item #1 Which transformation of ΔMNO results in a congruent triangle? Answer Example
More information11.2 Areas of Trapezoids,
11. Areas of Trapezoids, Rhombuses, and Kites Goal p Find areas of other types of quadrilaterals. Your Notes VOCABULARY Height of a trapezoid THEOREM 11.4: AREA OF A TRAPEZOID b 1 The area of a trapezoid
More information3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm.
1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify
More informationClass 5 Geometry O B A C. Answer the questions. For more such worksheets visit
ID : in-5-geometry [1] Class 5 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) The set square is in the shape of. (2) Identify the semicircle that contains 'C'. A C O B
More informationGeometry 1 FINAL REVIEW 2011
Geometry 1 FINL RVIW 2011 1) lways, Sometimes, or Never. If you answer sometimes, give an eample for when it is true and an eample for when it is not true. a) rhombus is a square. b) square is a parallelogram.
More information6-6 Trapezoids and Kites. CCSS SENSE-MAKING If WXYZ is a kite, find each measure. 25. WP
CCSS SENSE-MAKING If WXYZ is a kite, find each measure. 25. WP By the Pythagorean Theorem, WP 2 = WX 2 XP 2 = 6 2 4 2 = 20 27. A kite can only have one pair of opposite congruent angles and Let m X = m
More informationThe Quadrilateral Detective
The Quadrilateral Detective a Coordinate Geometry Activity An object might certainly LOOK like a square, but how much information do you really need before you can be absolutely sure that it IS a square?
More informationProject Maths Geometry Notes
The areas that you need to study are: Project Maths Geometry Notes (i) Geometry Terms: (ii) Theorems: (iii) Constructions: (iv) Enlargements: Axiom, theorem, proof, corollary, converse, implies The exam
More information8.3 Prove It! A Practice Understanding Task
15 8.3 Prove It! A Practice Understanding Task In this task you need to use all the things you know about quadrilaterals, distance, and slope to prove that the shapes are parallelograms, rectangles, rhombi,
More informationPlease plan carefully. Papers are due at the start of class on the due date. Late papers will not be accepted.
Please plan carefully. Papers are due at the start of class on the due date. Late papers will not be accepted. Name: Geometry CC Regents Review #11 Part I: Answer all questions in this part. Each correct
More information9.1 Properties of Parallelograms
Name lass ate 9.1 Properties of Parallelograms Essential Question: What can you conclude about the sides, angles, and diagonals of a parallelogram? Explore Investigating Parallelograms quadrilateral is
More informationClass : VI - Mathematics
O. P. JINDAL SCHOOL, RAIGARH (CG) 496 001 Phone : 07762-227042, 227293, (Extn. 227001-49801, 02, 04, 06); Fax : 07762-262613; e-mail: opjsraigarh@jspl.com; website : www.opjsrgh.in Class : VI - Mathematics
More informationGeometer s Skethchpad 7th Grade Guide to Learning Geometry
Geometer s Skethchpad 7th Grade Guide to Learning Geometry This Guide Belongs to: Date: 2 -- Learning with Geometer s Sketchpad **a story can be added or one could choose to use the activities alone and
More informationSTUDENT: We made it right now and then we used the end points of the blue and yellow sticks. Then if you connect the dots...
Tuesday Group Work Part B: STUDENT: We made it right now and then we used the end points of the blue and yellow sticks. Then if you connect the dots... STUDENT: Oh, so it s kind of like making a kite but
More informationFINAL REVIEW. 1) Always, Sometimes, or Never. If you answer sometimes, give an example for when it is true and an example for when it is not true.
FINL RVIW 1) lways, Sometimes, or Never. If you answer sometimes, give an eample for when it is true and an eample for when it is not true. a) rhombus is a square. b) square is a parallelogram. c) oth
More informationLesson 3.1 Duplicating Segments and Angles
Lesson 3.1 Duplicating Segments and ngles Name eriod Date In Exercises 1 3, use the segments and angles below. omplete the constructions on a separate piece of paper. S 1. Using only a compass and straightedge,
More informationThe area A of a trapezoid is one half the product of the height h and the sum of the lengths of its bases, b 1 and b 2.
ALGEBRA Find each missing length. 21. A trapezoid has a height of 8 meters, a base length of 12 meters, and an area of 64 square meters. What is the length of the other base? The area A of a trapezoid
More information6.1 Ratios, Proportions, and the Geometric Mean
6.1 Ratios, Proportions, and the Geometric Mean VOCABULARY Ratio of a to b Proportion Means and Extremes Geometric Mean EX1: Simplify Ratios Simplify the ratio. (See Table of Measures, p. 921) a. 76 cm:
More informationMathematics 43601F. Geometry. In the style of General Certificate of Secondary Education Foundation Tier. Past Paper Questions by Topic TOTAL
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials In the style of General Certificate of Secondary Education Foundation Tier Pages 2 3 4 5 Mark
More informationExtra Practice 1. Name Date. Lesson 8.1: Parallel Lines. 1. Which line segments are parallel? How do you know? a) b) c) d)
Master 8.24 Extra Practice 1 Lesson 8.1: Parallel Lines 1. Which line segments are parallel? How do you know? a) b) c) d) 2. Look at the diagram below. Find as many pairs of parallel line segments as you
More information24.5 Properties and Conditions for Kites and Trapezoids
P T S R Locker LSSON 4.5 Properties and onditions for Kites and Trapezoids ommon ore Math Standards The student is expected to: G-SRT.5 Use congruence and similarity criteria for triangles to solve problems
More informationGEO: Sem 1 Unit 1 Review of Geometry on the Coordinate Plane Section 1.6: Midpoint and Distance in the Coordinate Plane (1)
GEO: Sem 1 Unit 1 Review of Geometr on the Coordinate Plane Section 1.6: Midpoint and Distance in the Coordinate Plane (1) NAME OJECTIVES: WARM UP Develop and appl the formula for midpoint. Use the Distance
More informationCopying a Line Segment
Copying a Line Segment Steps 1 4 below show you how to copy a line segment. Step 1 You are given line segment AB to copy. A B Step 2 Draw a line segment that is longer than line segment AB. Label one of
More informationTrapezoids and Kites. isosceles trapezoid. You are asked to prove the following theorems in the exercises.
Page 1 of 8 6.5 Trapezoids and ites What you should learn O 1 Use properties of trapezoids. O 2 Use properties of kites. Why you should learn it To solve real-life problems, such as planning the layers
More informationFSA Geometry EOC Getting ready for. Circles, Geometric Measurement, and Geometric Properties with Equations.
Getting ready for. FSA Geometry EOC Circles, Geometric Measurement, and Geometric Properties with Equations 2014-2015 Teacher Packet Shared by Miami-Dade Schools Shared by Miami-Dade Schools MAFS.912.G-C.1.1
More information6th FGCU Invitationdl Math Competition
6th FGCU nvitationdl Math Competition Geometry ndividual Test Option (E) for all questions is "None of the above." 1. MC = 12, NC = 6, ABCD is a square. 'h What is the shaded area? Ans ~ (A) 8 (C) 25 2.
More informationPRE-JUNIOR CERTIFICATE EXAMINATION, 2010 MATHEMATICS HIGHER LEVEL. PAPER 2 (300 marks) TIME : 2½ HOURS
J.20 PRE-JUNIOR CERTIFICATE EXAMINATION, 2010 MATHEMATICS HIGHER LEVEL PAPER 2 (300 marks) TIME : 2½ HOURS Attempt ALL questions. Each question carries 50 marks. Graph paper may be obtained from the superintendent.
More informationGood Luck To. DIRECTIONS: Answer each question and show all work in the space provided. The next two terms of the sequence are,
Good Luck To Period Date DIRECTIONS: Answer each question and show all work in the space provided. 1. Find the next two terms of the sequence. 6, 36, 216, 1296, _?_, _?_ The next two terms of the sequence
More information2.1 Slope and Parallel Lines
Name Class ate.1 Slope and Parallel Lines Essential Question: How can ou use slope to solve problems involving parallel lines? Eplore Proving the Slope Criteria for Parallel Lines Resource Locker The following
More information#2. Rhombus ABCD has an area of 464 square units. If DB = 18 units, find AC. #3. What is the area of the shaded sector if the measure of <ABC is 80?
1 Pre-AP Geometry Chapter 12 Test Review Standards/Goals: F.1.a.: I can find the perimeter and area of common plane figures, such as: triangles, quadrilaterals, regular polygons, and irregular figures,
More information3 Kevin s work for deriving the equation of a circle is shown below.
June 2016 1. A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?
More informationMEA 501 LESSON _NOTES Period. CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 301 Compute the perimeter of polygons when all
MEA 501 LESSON _NOTES Period Name CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 301 Compute the perimeter of polygons when all attain mastery at this level side lengths are given MEA 302 Compute
More information3 rd -5 th Grade. Mix-Freeze-Group. Geometry
3 rd -5 th Grade Mix-Freeze-Group Geometry Mix-Freeze-Group Purpose: This game gives students an opportunity to develop and use 3-5 th grade geometry based math vocabulary, How To Play (whole group or
More informationISBN Copyright 2015 The Continental Press, Inc.
Table of COntents Introduction 3 Format of Books 4 Suggestions for Use 7 Annotated Answer Key and Extension Activities 9 Reproducible Tool Set 175 ISBN 978-0-8454-8768-6 Copyright 2015 The Continental
More informationTrapezoids. are the bases. TP. / are the legs.
8 5 What You ll Learn You ll learn to identify and use the properties of trapezoids and isosceles trapezoids. rapezoids any state flags use geometric shapes in their designs. an you find a quadrilateral
More informationObjective: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 18 5 5 Lesson 18 Objective: Draw rectangles and rhombuses to clarify their attributes, and define Suggested Lesson Structure Fluency Practice Application Problem
More information12th Bay Area Mathematical Olympiad
2th Bay Area Mathematical Olympiad February 2, 200 Problems (with Solutions) We write {a,b,c} for the set of three different positive integers a, b, and c. By choosing some or all of the numbers a, b and
More informationII, ( ) SUMMATIVE ASSESSMENT II MATHEMATICS / Class IX /
Page 1 of 1 II, (201-2015) SUMMATIVE ASSESSMENT II MATHEMATICS / Class IX / 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 1 (iii) (iv) General Instructions : 1 6 2 8 IX 10-2 1 (i) All questions are
More information7.1 Properties of Parallelograms
PropertiesofParallelograms20052006.nb 1 7.1 Properties of Parallelograms A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Notice that the definition states that both pairs
More informationGeometry 2001 part 1
Geometry 2001 part 1 1. Point is the center of a circle with a radius of 20 inches. square is drawn with two vertices on the circle and a side containing. What is the area of the square in square inches?
More informationPark Forest Math Team. Meet #2. Geometry. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
More information(1) Page 482 #1 20. (2) Page 488 #1 14. (3) Page # (4) Page 495 #1 10. (5) Page #12 30,
Geometry/Trigonometry Unit 8: Circles Notes Name: Date: Period: # (1) Page 482 #1 20 (2) Page 488 #1 14 (3) Page 488 489 #15 26 (4) Page 495 #1 10 (5) Page 495 496 #12 30, 37 39 (6) Page 502 #1 7 (7) Page
More informationAngles formed by Transversals
Section 3-1: Parallel Lines and Transversals SOL: None Objectives: Identify the relationships between two lines or two planes Name angles formed by a pair of lines and a transversal Vocabulary: Parallel
More information0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0)
0810ge 1 In the diagram below, ABC! XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements
More informationClass 8 Mathematics - Sample Paper Set II
Time allowed: 3 hours; Maximum marks: 90 General Instructions: a) All Questions are compulsory b) The Question Paper consists of 42 Questions divided in to four sections A, B, C and D c) Section- A comprises
More informationJK XY LJ LJ ZX KL KL YZ LJ KL YX KJ. Final Exam Review Modules 10 16, 18 19
Geometry Final Exam Review Modules 10 16, 18 19 Use the following information for 1 3. The figure is symmetric about the x axis. Name: 6. In this figure ~. Which statement is not true? A JK XY LJ ZX C
More informationGrade Pellissippi State Middle School Mathematics Competition Funded by ORAU 1. Pellissippi State. Middle School Mathematics Competition
Grade 6 008 Pellissippi State Middle School Mathematics Competition Funded by ORAU Pellissippi State Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Sixth Grade Scoring
More informationParallel and Perpen icular Lines. Worksheets
n Parallel and Perpen icular Lines Worksheets Exercises 1 5 1. 2. a c b 60 a b 40 c 3. 4. a 51 52 b c d 60 b c a d 65 h i e f g 55 5. a b 163 c 70 d e Discovering Geometry Teaching and Worksheet Masters
More informationUKMT UKMT. Team Maths Challenge 2015 Regional Final. Group Round UKMT. Instructions
Instructions Your team will have 45 minutes to answer 10 questions. Each team will have the same questions. Each question is worth a total of 6 marks. However, some questions are easier than others! Do
More information