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GEOMETRY QUIZ 1.2 For questions 1-4, identify the letter of the choice that best completes the statement or answers the question. ____ 1. Which diagram shows plane PQR and plane QRS intersecting only in A. C. B. ____ ? D. 2. How are the two angles related? 52° 128° Drawing not to scale A. vertical B. supplementary ____ C. complementary D. adjacent 3. Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called ____ angles. A. vertical; adjacent B. adjacent; vertical C. vertical; supplementary D. adjacent; complementary ____ 4. In the figure shown, . Which of the following statements is false? Not drawn to scale A. B. C. D. BEC and CED are adjacent angles. AED and BEC are adjacent angles. 5. Name an angle supplementary to (4 points) (1 point) 6. Name an angle complementary to (1 point) 7. and are complementary angles. m angle. 8. and are a linear pair. , and = , and m = . Find the measure of each (2 points) . Find the measure of each angle. (2 points) 9. bisects and Solve for x and find (2 points) 10. M(9, 8) is the midpoint of The coordinates of S are (10, 10). What are the coordinates of R? (1 point) 11. Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his walk be if there were a direct path from the school to his house? Assume that the blocks are square. (2 points) 12. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit 6.4 miles.) (3 points) 13. Find the area of the figure. Leave your answer in simplest radical form if necessary. (3 points) 14. Find the perimeter of the figure below. Leave your answer in simplest radical form if necessary. (2 points) 9 cm 8 cm 13 cm 9 cm 11 cm 15. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the other two sides measure 17.8 inches. How much ribbon does Ken need? (1 point) 16. If the perimeter of a square is 72 inches, what is its area? (2 points) 17. (a) Classify the figure below. (b) Find the perimeter and area of the figure. (4 points) y 10 5 A –10 –5 C B D 5 10 x –5 –10 18. Find the surface area and volume of the cylinder in terms of . (3 points) 19. Find the surface area & volume of the square pyramid shown, to the nearest whole number. (3 points) 20. Find the surface area & volume of the cone to the nearest tenth. (3 points) ____ 21. Find the surface area & volume of the given prism. Round to the nearest tenth if necessary. (3 points) 22. Find the surface area & volume of the sphere shown. Give each answer rounded to the nearest whole number. (3 points) 23. Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle. Leave your answer in terms of . (3 points) 24. Construct the bisector of (2 points) kjg Answer Section MULTIPLE CHOICE 1. ANS: OBJ: STA: TOP: planes DOK: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes 1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b| G.4.b 3108.1.4| 3108.1.6| 3108.1.14| 3108.4.6| SPI 3108.1.3| SPI 3108.1.4| SPI 3108.4.2 1-2 Problem 3 Finding the Intersection of Two Planes KEY: plane | intersection of two 2. ANS: OBJ: NAT: TOP: DOK: B PTS: 1 DIF: L2 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles DOK 1 3. ANS: OBJ: NAT: TOP: DOK: A PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 1 Identifying Angle Pairs KEY: adjacent angles | vertical angles DOK 1 4. ANS: OBJ: NAT: TOP: KEY: D PTS: 1 DIF: L4 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 1 Identifying Angle Pairs adjacent angles | supplementary angles | vertical angles DOK: DOK 2 5. ANS: REF: OBJ: NAT: TOP: DOK: B PTS: 1 DIF: L3 1-8 Perimeter, Circumference, and Area 1-8.1 Find the perimeter or circumference of basic shapes M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: SPI 3108.1.2| SPI 3108.4.7 1-8 Problem 4 Finding Area of a Rectangle KEY: area | square DOK 2 DOK 1 SHORT ANSWER 6. ANS: P G PTS: OBJ: NAT: TOP: DOK: Q R S H 1 DIF: L3 REF: 1-6 Basic Constructions 1-6.1 Make basic constructions using a straightedge and a compass G.1.d| G.3.b STA: 3108.4.21| 3108.4.22 1-6 Problem 1 Constructing Congruent Segments KEY: segment | construction DOK 2 7. ANS: PTS: 1 DIF: L3 REF: 1-6 Basic Constructions OBJ: 1-6.1 Make basic constructions using a straightedge and a compass NAT: G.1.d| G.3.b STA: 3108.4.21| 3108.4.22 TOP: 1-6 Problem 3 Construct the Perpendicular Bisector KEY: perpendicular bisector | construction DOK: DOK 2 8. ANS: PTS: OBJ: NAT: TOP: DOK: 1 DIF: L2 REF: 1-6 Basic Constructions 1-6.1 Make basic constructions using a straightedge and a compass G.1.d| G.3.b STA: 3108.4.21| 3108.4.22 1-6 Problem 4 Constructing the Angle Bisector KEY: angle bisector | construction DOK 2 9. ANS: The three segments are PTS: OBJ: STA: TOP: DOK: . 1 DIF: L3 REF: 1-2 Points, Lines, and Planes 1-2.1 Understand basic terms and postulates of geometry NAT: G.3.b| G.4.b 3108.1.4| 3108.1.6| 3108.1.14| 3108.4.6| SPI 3108.1.3| SPI 3108.1.4| SPI 3108.4.2 1-2 Problem 2 Naming Segments and Rays KEY: segment DOK 1 10. ANS: PTS: 1 DIF: L3 REF: 1-4 Measuring Angles OBJ: 1-4.1 Find and compare the measures of angles NAT: M.1.d| G.3.b STA: SPI 3108.4.2 TOP: 1-4 Problem 2 Measuring and Classifying Angles KEY: acute angle | right angle | obtuse angle DOK: DOK 2 11. ANS: PTS: OBJ: STA: KEY: 1 DIF: L3 REF: 1-4 Measuring Angles 1-4.1 Find and compare the measures of angles NAT: M.1.d| G.3.b SPI 3108.4.2 TOP: 1-4 Problem 3 Using Congruent Angles congruent angles DOK: DOK 2 12. ANS: PTS: OBJ: NAT: TOP: DOK: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles DOK 1 13. ANS: PTS: OBJ: NAT: TOP: DOK: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 1 Identifying Angle Pairs KEY: supplementary angles DOK 1 14. ANS: = 52, PTS: OBJ: NAT: TOP: DOK: = 38 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 3 Finding Missing Angle Measures KEY: complementary angles DOK 2 15. ANS: PTS: OBJ: NAT: TOP: pair DOK: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 3 Finding Missing Angle Measures KEY: supplementary angles| linear DOK 2 16. ANS: x = 14, PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs OBJ: NAT: TOP: KEY: 1-5.1 Identify special angle pairs and use their relationships to find angle measures M.1.d| G.3.b STA: 3108.4.5| SPI 3108.4.2 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures angle bisector DOK: DOK 2 17. ANS: (8, 6) PTS: OBJ: STA: KEY: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane 1-7.1 Find the midpoint of a segment NAT: G.3.b| G.4.a 3108.1.2| 3108.3.2| 3108.3.4 TOP: 1-7 Problem 2 Finding an Endpoint coordinate plane | Midpoint Formula DOK: DOK 2 18. ANS: 4 blocks PTS: OBJ: NAT: KEY: DOK: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane 1-7.2 Find the distance between two points in the coordinate plane G.3.b| G.4.a STA: 3108.1.2| 3108.3.2| 3108.3.4 TOP: 1-7 Problem 4 Finding Distance coordinate plane | Distance Formula | word problem | problem solving DOK 2 19. ANS: , 32 miles PTS: OBJ: NAT: KEY: DOK: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane 1-7.2 Find the distance between two points in the coordinate plane G.3.b| G.4.a STA: 3108.1.2| 3108.3.2| 3108.3.4 TOP: 1-7 Problem 4 Finding Distance Distance Formula | coordinate plane | word problem | problem solving | midpoint DOK 2 20. ANS: 54.6 in. PTS: OBJ: NAT: TOP: KEY: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area 1-8.1 Find the perimeter or circumference of basic shapes M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: SPI 3108.1.2| SPI 3108.4.7 1-8 Problem 1 Finding the Perimeter of a Rectangle perimeter | problem solving | word problem DOK: DOK 1 21. ANS: 22 units PTS: OBJ: NAT: TOP: KEY: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area 1-8.1 Find the perimeter or circumference of basic shapes M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: SPI 3108.1.2| SPI 3108.4.7 1-8 Problem 3 Finding Perimeter in the Coordinate Plane perimeter | coordinate plane | Distance Formula DOK: DOK 2 22. ANS: PTS: OBJ: NAT: TOP: DOK: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area 1-8.1 Find the perimeter or circumference of basic shapes M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: SPI 3108.1.2| SPI 3108.4.7 1-8 Problem 6 Finding Area of an Irregular Shape KEY: rectangle | area DOK 2 23. ANS: 68 PTS: OBJ: NAT: TOP: DOK: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area 1-8.1 Find the perimeter or circumference of basic shapes M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: SPI 3108.1.2| SPI 3108.4.7 1-8 Problem 6 Finding Area of an Irregular Shape KEY: area | rectangle DOK 2 24. ANS: 42.1 PTS: OBJ: NAT: TOP: DOK: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area 1-8.1 Find the perimeter or circumference of basic shapes M.1.c| M.1.f| M.2.a| G.3.b| A.4.e STA: SPI 3108.1.2| SPI 3108.4.7 1-8 Problem 6 Finding Area of an Irregular Shape KEY: circle | square | area DOK 2