Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question.
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1 Name: Date: Chapter 2 Quiz Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x? Identify the missing justifications.,, and. P R Q S Drawing not to scale x x + 3 = 100 2x + 10 = 100 2x = 90 x = 45 a. c. Simplify d. e. Division Property of Equality a. Angle Addition Postulate; Addition Property of Equality b. Angle Addition Postulate; Subtraction Property of Equality c. Protractor Postulate; Addition Property of Equality d. Protractor Postulate; Subtraction Property of Equality 2. Name the Property of Equality that justifies this statement: If p = q, then. a. Reflexive Property c. Symmetric Property b. Multiplication Property d. Subtraction Property
2 3. Complete the two-column proof. Given: Prove: a. a. Given b. Symmetric Property of Equality c. Subtraction Property of Equality d. Division Property of Equality e. Reflexive Property of Equality b. a. Given c. Subtraction Property of Equality d. Division Property of Equality e. Symmetric Property of Equality c. a. Given c. Subtraction Property of Equality d. Division Property of Equality e. Reflexive Property of Equality d. a. Given c. Subtraction Property of Equality d. Addition Property of Equality e. Symmetric Property of Equality 4. Write an expression that gives the area of the shaded region in the figure below. You do not have to evaluate the expression. The diagram is not to scale. 14 ft 4 ft 15 ft 6 ft a. c. b. d. Use the given property to complete the statement. 5. Transitive Property of Congruence If. a. c. b. d.
3 Short Answer 6. What is the value of x? Identify the missing justifications. (2x) 6(x 3) Drawing not to scale 7. bisects = 7x. =. Find 8. The figure is formed from rectangles. Find the total area. The diagram is not to scale. 8 ft 2 ft 2 ft 10 ft
4 9. What is the value of x? (7x 8) (6x + 11) Drawing not to scale Find the length of each side of the polygon for the given perimeter. 10. in. Find the length of each side. 2 y y 3 y ft. Find the length of each side. 3 s s s If a circle has an area of 100 inches squared. What is the radius of the circle?
5 13. If a triangle has an area of 50 meters squared and a height of 5 meters. What is the length of the base? 14. Copy the segment. 15. Copy the angle.
6 Chapter 2 Quiz Geometry Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L3 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 1 Justifying Steps When Solving an Equation KEY: Properties of Equality Angle Addition Postulate deductive reasoning DOK: DOK 2 2. ANS: D PTS: 1 DIF: L2 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 2 Using Properties of Equality and Congruence KEY: Properties of Equality DOK: DOK 1 3. ANS: B PTS: 1 DIF: L3 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 3 Writing a Two-Column Proof KEY: Properties of Equality proof DOK: DOK 3 4. ANS: A PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5 MA.912.G.6.5 TOP: 1-8 Problem 6 Finding Area of an Irregular Shape KEY: rectangle area DOK: DOK 2 5. ANS: C PTS: 1 DIF: L3 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 2 Using Properties of Equality and Congruence KEY: Properties of Congruence DOK: DOK 1 SHORT ANSWER 6. ANS: a. Angle Addition Postulate c. Distributive Property d. Simplify e. Addition Property of Equality f. Division Property of Equality PTS: 1 DIF: L3 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 1 Justifying Steps When Solving an Equation KEY: proof deductive reasoning Properties of Equality multi-part question DOK: DOK 2 7. ANS: 175
7 PTS: 1 DIF: L4 REF: 2-5 Reasoning in Algebra and Geometry TOP: 2-5 Problem 1 Justifying Steps When Solving an Equation KEY: Properties of Congruence Properties of Equality deductive reasoning DOK: DOK 3 8. ANS: 68 PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: Find the perimeter or circumference of basic shapes STA: MA.912.G.2.5 MA.912.G.6.5 TOP: 1-8 Problem 6 Finding Area of an Irregular Shape KEY: area rectangle DOK: DOK 2 9. ANS: 19 PTS: 1 DIF: L3 REF: 2-6 Proving Angles Congruent OBJ: Prove and apply theorems about angles STA: MA.912.D.6.4 MA.912.G.8.1 MA.912.G.8.5 TOP: 2-6 Problem 1 Using the Vertical Angles Theorem KEY: vertical angles Vertical Angles Theorem DOK: DOK ANS: 10 in., 18.5 in., 31.5 in. Perimeter is the sum of the sides. PTS: 1 DIF: Average REF: Lesson 1-6 OBJ: Find perimeter of two-dimensional figures. STA: MA.912.G.2.5 MA.912.G.2.6 MA.912.G.2.1 MA.912.G.2.7 TOP: Find the perimeters of polygons. KEY: Perimeter Polygons 11. ANS: 29 ft, 29 ft, 13 ft, 13 ft, 16 ft Perimeter is the sum of the sides. PTS: 1 DIF: Average REF: Lesson 1-6 OBJ: Find perimeter of two-dimensional figures. STA: MA.912.G.2.5 MA.912.G.2.6 MA.912.G.2.1 MA.912.G.2.7 TOP: Find the perimeters of polygons. 12. ANS: 10 in PTS: ANS: 20 meters PTS: ANS: KEY: Perimeter Polygons
8 PTS: 1 DIF: L3 REF: 1-6 Basic Constructions OBJ: Make basic constructions using a straightedge and a compass STA: MA.912.G.1.2 MA.912.G.4.1 MA.912.G.4.2 MA.912.G.8.6 TOP: 1-6 Problem 3 Construct the Perpendicular Bisector KEY: perpendicular bisector construction DOK: DOK ANS: PTS: 1 DIF: L3 REF: 1-6 Basic Constructions OBJ: Make basic constructions using a straightedge and a compass STA: MA.912.G.1.2 MA.912.G.4.1 MA.912.G.4.2 MA.912.G.8.6 TOP: 1-6 Problem 2 Constructing Congruent Angles KEY: angle construction DOK: DOK 2
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