Geometry Term 2 Final Exam Review

Transcription

1 Geometry Term Final Eam Review 1. If X(5,4) is reflected in the line y =, then find X.. (5,). (5,0). (-1,) D. (-1,4) Name 6. Find the tangent of angle X. Round your answer to four decimal places. X Z Y D is rotated 90 counterclockwise. What is its image?.. D. EF D. GH. Use the translation (,y) ( + 6, y 5) What is the preimage of (,-)?. (9,-7) 6 H 4 G F - E - D - - y 7. Find the measure of arc MHK G D. 60 M L K. Find the value of D. H J. (,). (-,) D. (-7,9) 9. Find the value of Find the value of. D D. 15. Find the value of DE D D E 5. Find the value of D Find the value of D

2 1. 1. Find the sum of the eterior angles of a regular octagon. 1. Find the volume of the right cone... 6 ft ft ft. D D. 45 ft. If m POQ is 45 and the diameter is 0 m, find the length of arc PQ π m 6 ft.. 5.0π m. 440 cm. 550 cm D. 17.5π m ft. Find the volume of the right cylinder. Round your answer to the nearest whole number.. 70 cm. 15π m ft. D. 99 cm 14. The radius of a circle is mm. Find the circumference of the circle. 0. Find the volume of the cone mm. 7. mm. 5π cm mm. 1π cm D mm. 15π cm 15. D. 6π cm Find the area of the circle.. 6π cm 1.. 1π cm. 6π cm 1 cm Find the volume of a square pyramid with a base area of 40 square inches and a height of 9 inches. D. 144π cm. cubic inches. cubic inches. 60 cubic inches in.. 16 in.. 7 in. D. 90 in. 17. D. 400 cubic inches Find the area of the shaded region in. Find the volume of the sphere.. in.. 11 in in. D. 45 in. Find the volume of the square pyrami. 0 m 1 m. 40 m. 400 m D. 50 m m

3 . Find the volume of the sphere.. Find the value of.. 4π cm. 97π cm. 196π cm D. 7776π cm D Find the value of The perimeter of a square is 64 cm. Find the length of a diagonal.. cm. cm. 16 cm D D. 16 cm 5. rectangular yard is 50 feet wide by feet long. How far is it diagonally from one corner to the opposite corner?. 65 ft.. 5 ft.. 10 ft. D. 170 ft. 6. GHI is equilateral with sides measuring 1 m. Find GJ.. 6 m. 6 m. 1 m D. 1 m 7. Find the value of and y. I 1 m G J H 0. ramp is used to unload trucks. How high is the end of a 4 foot ramp when it is tipped by a 4º angle?. 4.0 ft.. 6. ft...0 ft. D. 9. ft. 1. You are measuring the height of a building. You stand 140 feet from the base of the building. You measure the angle of elevation from a point on the ground to the top of the building to be 4. Estimate the height of the building.. 9 ft.. 4 ft.. 16 ft. D. 155 ft. 4ft ft.. = 5, y = 5. = 5, y = 5. = 5, y = 5 D. = 5, y = 5 y 0. Find the length of arc D.. π in.. 6π in.. 1π in. D. 16π in. in. 15 D

4 . Find the volume of the cylinder cm cm. 6.4 cm D. 15. cm 16 cm. 0 cm.. Find the radius of a circle with area 1π ft.. 9π ft.. 1 ft.. π ft. D. 9 ft. 4. Find the value of D a 9. Find the measure of arc JL D Find the volume. a) J K ( + 11) ( + 4) L 5. Find the volume of a pyramid that has a square base with 5 cm sides and a height of 9 cm.. 15 cm 5 m 1 m 4 m. 0 cm. 50 cm a) D. 75 cm b) ft. 6. Find the volume of the hemisphere. Round your answer to the nearest whole number. 1 ft.. 04 m. 61 m. 546 m D. 75 m 7. Find the radius of a circle with circumference 0π cm.. cm. 5π cm. 0 cm D. π cm 1 m b) 41. The volume of the right prism is 160 cm. Find the value of. cm cm

5 4. Line k is tangent to the circle. Find m Parallelogram D and parallelogram WXYZ are congruent. Find the value of m. 40 k D. X Y (m + 70) 0 D W Z 4. Line k is tangent to the circle. Find m k 4. Find the value of D. 19 ( + 6) ( + ) (7 + 4) 44. The volume of the cylinder is 17 m. Find the radius r. Round to the nearest whole number. () r 15 m 49. square with a side length of 5 has one verte at (, 0). Which of the following points cannot be a verte of the square? 45. Find the volume of the right prism. m () (7, 0) () (0, 7) () (, 0) (D) (, 5) (E) (7, 5) 50. What special type of quadrilateral has the vertices F( 6, ), G(1, ), H( 6, 5), and I(1, 5)? 46. Solve for D m m () rectangle () square () parallelogram (D) rhombus (E) kite 51. What are the values of the variables in quadrilateral MNOP? () = 4, y = 19 () =, y = () = 5, y = 7 (D) = 7, y = 6

6 5. Find and y. 5. Find the value of segment if a tangent and a secant intersect the circle as shown. 5. Which statement is true when using segments of length 5,, and to form a triangle? 59. Find the value of. The segments form an acute triangle. The segments form an obtuse triangle. The segments form a right triangle. The segments do not form a triangle. 54. Determine the measure of the interior angle at verte R. º 9º 91º 9º 111º Find the measure of arc. 75º º 0º 40º 0º 160º º º 0º R 4º 55. Find the volume of the soli 40 in 0 in 40 in 40 in 6 in in 56. Find the area of the shaded region. 7 cm 4 cm cm 0 cm 7 cm 57. Find the area of the polygon. u u 665 u 10 u 61. Sketch the given translation. (, y)!( + 4, y ) in

7 6. State the transformation used on preimage to get the image. Then state if the transformation is an isometry. 65. Triangle is dilated about the origin to. is shown on the gri Find the coordinates of... a) (-, ) b) (-4, 1) c) (-1, ) d) (, )... D. 6. The point (5, -) is reflected about the line y =. What is the image of? 64. Using the image at the right, determine which of the following are true statements. a) is an inscribed angle. b) is an ar c) DE is a chor d) H is a tangent.