b. Describe how a horizontal translation changes the coordinates of the endpoints.
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1 Pre-Test Name Date. Determine the distance between the points (5, 2) and (2, 6). 2. Mari draws line segment AB on a coordinate plane. The coordinates of A are (, 5). The coordinates of B are (23, 2). She translates the line segment 5 units to the left. She names this line segment A9B9. a. Identify the coordinates of A9 and B9. b. Describe how a horizontal translation changes the coordinates of the endpoints. c. How does the length of the image compare with the length of the pre-image? 3. Use construction tools to copy line segment CD. C D 4. Calculate the midpoint of a line segment with the endpoints (22, 2) and (6, 3). Chapter Assessments 993
2 Pre-Test page 2 5. Mical bisected line segment GH. He labeled the midpoint I. Compare the lengths of GI and IH. Explain your reasoning. 6. Cheyanne drew angle JKL on the coordinate plane. y L J K x a. Translate angle JKL down 7 units. Label the image J9K9L9. b. Describe how a vertical translation changes the coordinates of the angle endpoints. c. Use construction tools to bisect angle JKL. 994 Chapter Assessments
3 Pre-Test page 3 Name Date 7. The equation of line m is y 5 3 x 2. a. Write the equation of a line that is parallel to line m. Explain your reasoning. b. Write the equation of a line that is perpendicular to line m. Explain your reasoning. 8. Use construction tools to construct a square using the given perimeter. P Q Chapter Assessments 995
4 Pre-Test page 4 9. Jerome is making a sculpture. He wants to balance a scalene triangle on a pointed base. Which point of concurrency will be most helpful to Jerome? Explain your reasoning. 996 Chapter Assessments
5 Post-Test Name Date. Determine the distance between the points (7, 22) and (23, 4). 2. Zelly draws line segment MN on a coordinate plane. The coordinates of M are (22, 4). The coordinates of N are (3, 7). She translated the line segment 6 units down. She names this new line segment M9N9. a. Identify the coordinates of M9 and N9. b. Describe how a vertical translation changes the coordinates of the endpoints. c. How does the length of the image compare with the length of the pre-image? 3. Use construction tools to copy line segment MN. M N Chapter Assessments 997
6 Post-Test page 2 4. Calculate the midpoint of a line segment with the endpoints (3, 5) and (7, 23). 5. Point R is the midpoint of line segment PQ. Compare the lengths of PR and RQ. Explain your reasoning. P R Q 6. Bernie drew angle ABC on the coordinate plane. y A 8 6 B C x a. Translate angle ABC to the right 2 units. Label the image A9B9C Chapter Assessments
7 Post-Test page 3 Name Date b. Describe how a horizontal translation changes the coordinates of the angle endpoints. c. Use construction tools to bisect angle ABC. 7. The equation of line r is y 5 22x. a. Write the equation of a line that is parallel to line r. Explain your reasoning. b. Write the equation of a line that is perpendicular to line r. Explain your reasoning. 8. Use construction tools to construct an isosceles triangle that is not an equilateral triangle with the side length shown. Chapter Assessments 999
8 Post-Test page 4 9. Alex is designing a triangular-shaped park. The park includes tennis courts, ball fields, and playground equipment located at the vertices of the triangular plot of land. He wants to locate a water fountain equidistant from each area of the park. Which point of concurrency would be most helpful to Alex? Explain your reasoning. 000 Chapter Assessments
9 Mid-Chapter Test Name Date. Kazuo drew line segment EF on the coordinate plane. y F E x a. Determine the distance between the points E and F. b. Translate line segment EF to the left 0 units. Label the image E9F9. Describe how a horizontal translation changes the coordinates of the endpoints. c. Translate line segment E9F9 down 7 units. Label the image E 0F 0. Describe how a vertical translation changes the coordinates of the endpoints. d. Compare the lengths of the images and the pre-image. Chapter Assessments 00
10 Mid-Chapter Test page 2 2. Use construction tools to copy line segment BC. B C 3. Calculate the midpoint of a line segment with the endpoints (, 9) and (22, 5). 4. Chaya bisects line segment ST. She labels the midpoint M. Line segment ST is 3.2 centimeters long. What are the lengths of SM and MT? Explain your reasoning. 002 Chapter Assessments
11 Mid-Chapter Test page 3 Name Date 5. George bisects line segment AB. He labels the midpoint C. The length of AC is inches. What is the 4 length of AB? Explain your reasoning. 6. Analyze line segment PQ. a. Use construction tools to bisect line segment PQ. P Q b. Where is the midpoint of line segment PQ located? Chapter Assessments 003
12 Mid-Chapter Test page 4 7. Analyze line segment AB. a. Use construction tools to bisect line segment AB. Label the midpoint C. A B b. Use construction tools to bisect line segment AC. Label the midpoint D. c. Describe the relationship between the length of line segment AB and the length of line segment AD. Explain your reasoning. 004 Chapter Assessments
13 End of Chapter Test Name Date. Riki calculated the distance between the points (6, 22) and (2, 8). d 5 (6 2 (22)) 2 (2 2 8 ) a. Are Riki s calculations correct? Explain your reasoning. b. Determine the distance between the points (6, 22) and (2, 8). 2. Carol drew line segment XY on the coordinate plane. Diane translated XY twice. The final image is X 0Y 0. Draw image X9Y9. Explain your reasoning. y X 8 6 Y X0 x Y0 Chapter Assessments 005
14 End of Chapter Test page 2 3. Calculate the midpoint of a line segment with the endpoints (7, 2) and (2, 6). 4. Analyze line segment UV. V U a. Use construction tools to bisect line segment UV. Label the midpoint W. b. Describe the relationship between the length of line segment UV and the length of line segments UW and WV. Explain your reasoning. 006 Chapter Assessments
15 End of Chapter Test page 3 Name Date 5. Adina drew angle GHI on the coordinate plane. y 0 I G H x a. Translate angle GHI to the left units. Label the image G9H9I9. b. Describe how a horizontal translation changes the coordinates of the angle endpoints. c. Translate angle G9H9I9 down 5 units. Label the image G0H 0I 0. d. Describe how a vertical translation changes the coordinates of the angle endpoints. e. Use construction tools to bisect angle GHI. Label a point on the angle bisector J. f. Angle GHI is a 02 angle. What is the measure of angle GHJ? Chapter Assessments 007
16 End of Chapter Test page 4 6. Determine if the lines are parallel, perpendicular, or neither. Explain your reasoning. a. y 5 23x and y 5 3 x 2 b. y 5 2x 3 and y 5 22x 3 c. y 5 3x 2 2 and y 5 3x Calculate the distance between the line f(x) 5 2 x 3 and the point (3, 7) Chapter Assessments
17 End of Chapter Test page 5 Name Date 8. Determine the equation of a line that is perpendicular to the line y 5 3x 2 4 and passes through the point (0, 23). 9. Construct a line parallel to line m. Label the line n. m 0. Construct an equilateral triangle with the given side length. Chapter Assessments 009
18 End of Chapter Test page 6. Construct a square using the perimeter given. L M 00 Chapter Assessments
19 End of Chapter Test page 7 Name Date 2. Use algebra to determine the circumcenter of the triangle shown. Show all your work. Label the circumcenter on the grid. y 4 3 B 2 A C x Chapter Assessments 0
20 02 Chapter Assessments
21 Standardized Test Practice Name Date. What is the distance between the two points (5, 22) and (23, 8)? a. 3 b. 2.8 c. 6.3 d Which of the following is a true statement? a. A horizontal translation changes the x-coordinate of the endpoints of a figure but the y-coordinate remains the same. b. A vertical translation changes the x-coordinate of the endpoints of a figure but the y-coordinate remains the same. c. A horizontal translation changes the y-coordinate of the endpoints of a figure but the x-coordinate remains the same. d. A vertical translation changes both coordinates of the endpoints of a figure. 3. Line segment CD had endpoints C(22, 5) and D(3, 7). Jill translated CD down 7 units and labeled the new line segment C9D9. Which are the coordinates of the endpoints of C9D9? a. (29, 5), (24, 7) b. (5, 22), (7, 3) c. (22, 22), (3, 0) d. (2, 25), (23, 27) 4. Line segment LM is 3.5 centimeters long. Gary bisects the line segment and labels the point of intersection P. What is the length of LP? a centimeters b centimeters c centimeters d..75 centimeters 5. What is the midpoint of a line segment with endpoints (22, 6) and (4, 3)? a. (24, 2 ) b. (23, 2 ) c. (, 4 2 ) d. (2, 2 2 ) Chapter Assessments 03
22 Standardized Test Practice page 2 6. Chaya bisected line segment GP. She labeled the point of intersection M. The length of MP is 9 centimeters. What is the length of GP? a. 4.5 centimeters b. 9 centimeters c. 2 centimeters d. 8 centimeters 7. Which construction shows bisecting a line segment? a. b. P T U T V U Q c. d. P T V U T U 04 Chapter Assessments
23 Standardized Test Practice page 3 Name Date 8. Which of the following is a true statement? a. Bisecting a line segment is the same as copying a line. b. Bisecting a line segment divides a line into two equal parts. c. Bisecting a line segment divides a line into four equal parts. d. Bisecting a line segment does not divide the line into two equal parts. 9. Brian draws angle QXR on a coordinate grid. The endpoints are Q(2, 2), X(7, 2) and R(0, 6). Brian translated the angle 2 units to the left and labels the new angle Q9X9R9. What are the coordinates of the endpoints of Q9X9R9? a. Q9(20, 2), X9(25, 2), R9(22, 6) b. Q9(22, 2), X9(27, 2), R9(20, 6) c. Q9(2, 2), X9(2, 7), R9(6, 0) d. Q9(2, 20), X9(7, 20), R9(0, 26) 0. Lori bisects angle GHI. She labels a point on the bisector as J. Angle GHI is 20. What is the measure of angle GHJ? a. 30 b. 60 c. 20 d Sal translates one endpoint of a ray of an angle. Which of the following statements is true? a. The measure of the resulting angle is twice the measure of the original angle. b. The measure of the resulting angle is the same as the measure of the original angle. c. The measure of the resulting angle is half the measure of the original angle. d. The measure of the resulting angle will not be the same as the measure of the original angle. 2. Joseph bisects angle LMN and labels a point on the bisector as O. He measures angle LMO with a protractor. The measure of angle LMO is 58. What is the measure of angle LMN? a. 27 b. 29 c. 6 d. 20 Chapter Assessments 05
24 Standardized Test Practice page 4 3. Which of the following is the equation of a line that is parallel to y 5 4x 2 3 and passes through the point (0, )? a. y 5 4x b. y 5 24x c. y 5 4x d. y 5 4x 2 4. Which of the following are equations of perpendicular lines? a. y x 3 y x 2 b. y x 3 y 5 2x 2 3 c. y x 3 y 5 22x d. y x 3 y 5 22x 3 5. Which of the following is the equation of a vertical line? a. y 5 3 b. x 5 3 c. y 5 x d. y 5 2x 6. What is the distance between the line f(x) 5 2x 2 5 and the point (26, 22)? a. 3 units b. 6.7 units c. 6 units d. 5 units 06 Chapter Assessments
25 Standardized Test Practice page 5 Name Date 7. Which triangle is created using the following construction? a. isosceles triangle b. scalene triangle c. equilateral triangle d. obtuse triangle 8. Which correctly states the first two steps in constructing a square with a given perimeter? a.. Draw a starter line and duplicate the given perimeter. 2. Copy the line segment. b.. Draw a starter line and duplicate the given perimeter. 2. Construct a parallel line. c.. Draw a starter line and duplicate the given perimeter. 2. Bisect the line segment using a perpendicular bisector. d.. Draw a starter line and duplicate the given perimeter. 2. Construct an isosceles triangle on the line. 9. Which equation represents a horizontal line passing through the point (2, 24)? a. x 5 2 b. y 5 2 c. x 5 24 d. y Which of the following is used to construct an isosceles triangle? a. congruent circles b. perpendicular bisector c. parallel lines d. equilateral triangle Chapter Assessments 07
26 08 Chapter Assessments
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