Chapter Test Form A. 187 Holt Geometry. Name Date Class

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1 10 Form A Circle the best answer. 1. Which three-dimensional figure does NOT have a vertex? A cylinder B rectangular prism C rectangular pyramid D triangular prism 5. Use Euler s formula to determine which set of information represents a polyhedron. A 10 vertices, 15 edges, 7 faces B 6 vertices, 5 edges, 9 faces 6. What is the length of the diagonal of the rectangular prism?. Which CANNOT be folded to form a cube? A C 1 cm cm 3 cm B 3. Which identifies the drawing of the object? D A 160 cm B 153 cm C 13 cm D 169 cm 7. A segment has a midpoint of (1, 1, 1). Which could be its endpoints? A (,, 6) and (1, 3, 5) B (,, 6) and (0,, ) C (,, 6) and (0,, 3) D (,, 0) and (0,, 0) 8. What is the lateral area of the rectangular prism? A orthographic B one-point perspective. Which figure is represented? in. 8 in. 1 in. A 576 in C 1056 in B 960 in D 115 in A B 9. What is the surface area of the cylinder? A 5 in C 7 in B 63 in D 7 in Holt Geometry

2 10 Form A continued 10. What is the surface area of the regular pyramid? 1. What is the volume of the pyramid? A 17 ft C 33 ft B ft D 36 ft A 11 in 3 C in 3 B 168 in 3 D 336 in What is the volume of the cone? 11. What is the surface area of the right cone? A 70 cm 3 C 175 cm 3 B 105 cm 3 D 55 cm 3 A 60 cm C 360 cm B 30 cm D 60 cm 1. What is the volume of the right prism? Use the figure for Exercises 16 and cm A cm 3 C 96 cm 3 B 6 cm 3 D 38 cm What is the volume of the right cylinder? 16. What is the volume of the sphere? A 97 cm 3 C 3 cm 3 B 97 cm D 3 cm 17. What is the surface area of the sphere? A 97 cm 3 C 3 cm 3 B 97 cm D 3 cm A 8 cm 3 C 768 cm 3 B 19 cm 3 D 1536 cm Holt Geometry

3 10 Form B Circle the best answer. 1. What is the classification of a threedimensional figure if the base is rectangular and the other faces are triangular? A rectangular prism B rectangular pyramid C triangular prism D triangular pyramid. What three-dimensional figure can be made from the net? F hexagonal prism G hexagonal pyramid H octagonal prism J pentagonal prism 3. Which view is NOT accurate for the figure? Assume there are no hidden cubes. 5. Use Euler s formula to verify which accurately states the number of faces, vertices, and edges of a rectangular pyramid. A 6 faces, 8 vertices, edges B 6 faces, 8 vertices, 8 edges C 5 faces, 5 vertices, 8 edges D 5 faces, 8 vertices, 8 edges 6. To the nearest tenth, what is the distance between the points (5, 1, 7) and (8,, 10)? F 10 H 5.6 G 10.9 J Which segment has its midpoint at (, 3.5,.5)? A segment with endpoints (, 1,.5) and (6,.5, 9) B segment with endpoints (,.5,.5) and (, 1, 0) C segment with endpoints (0,, 1) and (8, 9, 10) D segment with endpoints (,.5, 8) and (6,.5, 1) A C Front: B D 8. What is the surface area of the composite figure?. Which three-dimensional figure has the top view shown? F 9 cm H 510 cm G 50 cm J Not here F G H J 9. A right cylinder has a diameter of 10 inches and a height of 15 inches. To the nearest square inch, what is the surface area of the cylinder? A 53 in C 68 in B 550 in D 1570 in 189 Holt Geometry

4 10 Form B continued 10. Which pyramid has a surface area of 50 cm when rounded to the nearest whole number? F a regular hexagonal pyramid with a base edge length of 6 centimeters and a slant height of 1 centimeters G a square pyramid with a base edge length of 16 centimeters and a slant height of 11 centimeters H a regular hexagonal pyramid with a base edge length of 8 centimeters and a slant height of 1 centimeters J a square pyramid with a base edge length of 11 centimeters and a slant height of 16 centimeters 11. Which cone has a surface area of 7.6 square units when rounded to the nearest tenth? A a right cone with a diameter of 16 and an altitude of 6 B a right cone with a radius of 10 and a slant height of 16 C a right cone with a radius of 10 and a slant height of 13 D a right cone with a radius of 1 and an altitude of 9 1. An orange juice container is a rectangular prism that measures 8 inches by 3.5 inches by inches. A grape juice container is a rectangular prism that measures 9 inches by 3 inches by inches. Which best describes the relationship between the two containers? F The grape juice container has the greater volume. G The orange juice container has the greater volume. H The volumes are equal. J The relationship cannot be determined. 13. You have 500 cubic centimeters of wax. How many cylindrical candles can you make from the wax if each candle is 15 centimeters tall and has a diameter of 10 centimeters? A 0 C 3.8 B 3 D 1. Which pyramid has a volume of 63 cubic inches? 9 in. 8 in. 9 in. 3 in. 3.5 in. 7 in. 6 in. I II F I G II H both J neither 15. A cone has a volume of about 8 cubic inches. Which are possible dimensions for the cone? A radius 6 inches, height 3 inches B diameter 6 inches, height 3 inches C diameter inches, height 6 inches D diameter 6 inches, height 6 inches 16. What is the volume of a hemisphere with a diameter of 6 feet to the nearest hundredth of a cubic foot? F ft 3 H 5.16 ft 3 G ft 3 J 90.3 ft What is the surface area of a sphere with a diameter of 8 centimeters? Round to the nearest hundredth. A cm C 80.5 cm B cm D 1.66 cm 190 Holt Geometry

5 11 Circle the best answer. 1. Which describes EF? A chord B radius Form A C secant D tangent. A plane is cruising at an altitude of 5.5 miles. Which equation can be used to find the distance from the plane to the horizon?? 5. What is the area of sector DEF in terms of? 10 3 cm A 3 cm C cm B cm D 3 cm 6. What is the length of JK? 8 cm A EC EH CH B DC EH CH 3. What is m EA? 000 mi 5 A cm 7. What is mwtv? B 8 cm 0 A 70 B 90. What is the length of BD _? 6 A 8 C 1 B 10 D A 30 C 60 B 5 D What is mrst? A 51 C 67 B 6 D Holt Geometry

6 11 9. What is mxyz? A 83 B What is mknl? A 0 B 30 C 60 D What is the value of x? A 0 B 5 C 5 D 65 Form A continued 5 1. What is the value of x? A 1 B What is the value of x? 5 3 A 3.75 C 7.75 B 6 D Archaeologists discovered a portion of a stone wall. To calculate its original diameter, they marked and measured chord _ KM and its perpendicular bisector. What was the diameter of the original circular wall? A 8 ft ft ft B 10 ft 15. What are the coordinates of the center of the circle (x 3) (y 5) 1? A (3, 5) B (3, 5) 16. Which is the equation for circle P? A (x 1) (y ()) B (x 1) (y ) C (x (1)) (y ) D (x (1)) (y ()) 17. Which are used to find the center of a circle drawn through three noncollinear points? A perpendicular bisectors B altitudes 08 Holt Geometry

7 11 Form B Circle the best answer. 1. Which is a chord? A AE _ B BE C BD D OC. A plane is cruising at an altitude of 30,000 feet. What is the distance, to the nearest mile, from the plane to the horizon?? 000 mi F 13 mi G 000 mi H 8,500,000 mi J Not here 3. Which of these arcs has a measure of 13? 0 A FJ B DF 6. What is BD?.5 C EG D DH 5. Which sector does NOT have an area of 3? A central angle 135 ; radius B central angle 80 ; radius 3 C central angle 67.5 ; radius D central angle 70 ; diameter 6. Which arc has a length of 5 units? F arc measure 5 ; radius 10 G central angle 90 ; radius 10 H arc measure 90 ; radius 5 J central angle 5 ; diameter 0 7. What is mvxu? A 30 C 65 B 5 D Quadrilateral PQRS is inscribed in a circle. The ratio of mp to mr is :. What is mr? F 30 H 10 G 60 J Not here 9. What is mjkm? A 8 C 90 B 58.5 D 117 F 7.5 H 9. G 8.5 J Holt Geometry

8 11 Form B continued 10. What is mjbm? Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree? F 50 H 110 G 80 J How many arc degrees are in the minor arc? 65 A 3.5 C 115 B 65 D Not here _ 1. What is the length of SQ? 6 F 5 H 13 G 9 J If RQ 8, what is the length of A 3 B 5 C 13.5 D Not here 6 _ RP? F ft G 5 ft H 8 ft J 10 ft 15. Which is the equation of a circle that passes through (, ) and is centered at (5, 6)? A (x 6) (y 5) 5 B (x 5) (y 6) 5 C (x 5) (y 6) 5 D (x 5) (y 6) Which is the graph of (x 1) (y ) =? F H G A hospital trauma center is going to be built equidistant from three cities. Positioned on a grid, the cities would be located at (1, 5), (, ), and (6, ). What are the coordinates of the location where the trauma center should be built? A (, 1) C (, 1) B (, 1) D (, 1) J Holt Geometry

9 1 Form A 1. Write True or False. The transformation is a reflection. 5. Write True or False. The transformation is a rotation about point J.. A triangle with vertices P(5, 6), Q(, 1), and R(3, 3) is reflected across the y-axis. Identify the coordinates of the image of point Q. 6. Draw the image of RST after a rotation of 180 about the origin. 3. Write True or False. The transformation is a translation. 7. Draw the result of reflecting the figure across the x-axis and then translating it along the vector, Draw the translation of _ LM along the vector, Write True or False. The transformation is a glide reflection. 33 Holt Geometry

10 1 Form A continued 9. Identify a single transformation that is equivalent to reflecting the figure across line n and then reflecting the image across line m. 13. Identify a pair of regular polygons that can be used to make a semiregular tessellation. 1. Write True or False. The transformation is a dilation. 10. Write True or False. The figure has line symmetry. If true, tell how many lines of symmetry. 15. Identify the coordinates of the image of vertex M under a dilation centered at the origin with a scale factor of Write True or False. The figure has rotational symmetry Write True or False. The pattern is a tessellation. 3 Holt Geometry

Vocabulary. Term Page Definition Clarifying Example. cone. cube. cylinder. edge of a threedimensional. figure. face of a polyhedron.

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