Sandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.

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1 Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D. 4 E. 8 0 o 4. What is the distance between the points (, ) and (, 7)? D. E.. Which of the following is NOT true of a triangle?. One angle is twice as large as another angle.. One leg is twice as large as the other leg.. The smallest angle is three times as large as the biggest angle. D. The ratio of the longer leg to the hypotenuse is. E. The side opposite the 0 o angle is half as long as the hypotenuse. 4. square and a rectangle have the same area. The width of the rectangle is cm less than the width of the square, and the length of the rectangle is cm more than the length of the square. How long is each side of the square? +. 6 cm. 7 cm. 6. cm D. 7. cm E. 8. cm Geometry: Second Semester Final Eam age of

2 . thin wire 6 inches long is bent to form a rectangle. If the width of that rectangle is 8 inches, then what is its area?. 8 in. 80 in. 80 in D. 60 in E. 7 in 6. What is the area of a square in which each diagonal measures 4 cm?. 8 cm. 6 cm. cm D. 8 cm E. 6 cm 4 cm 7. What is the ratio of the area of the shaded region to the area of the square? D. 0.9 E in 8. bo has a square base measuring inches on a side. thin rod that is inches long will just barely fit in this bo. How tall is the bo? in. 4 in. in. 6 in D. in E. 4 in in in 9. What is the measure of angle?. 96 o. 86 o. 84 o D. 86 o E. 94 o Geometry: Second Semester Final Eam age of

3 0. Find : D. E. D. If segment Q is parallel to segment, find the length of segment : D. E. 9 Q 6. The figure on the right shows a segment.4 cm and its image under a dilation. What is the scale factor of the dilation? reimage enter of dilation Image.6 cm... 4 D. E.. Suppose =,, and. Then which of the following might NOT be true?. is on the bisector of. =. and are supplementary D. The midpoint of is the center of a circle that contains,,, and. E. = Geometry: Second Semester Final Eam age of

4 roblems 4-: Refer to the circle at the right. 4. Find the degree measure of.. 0 o. 40 o. 0 o D. 0 o E. 0 o O 80 o 0 o. If the circumference of O is 48 cm, then what is the length of?. 0 cm. 4 cm. 64 cm D. 48 cm E. cm 6. What is the degree measure of? Q. 64 o. o. 8 o D. 4 o E. 0 o O 64 o R 7. What is the value of? 40 o. o. 0 o. 60 o D. 40 o E. 0 o o 0 o 8. Find the value of, if = 4, = 6, =, and D = O D D. E. 4 Geometry: Second Semester Final Eam age 4 of

5 9. If = 4, what is the value of? 4... D. E Given: = 6, = 4, = Find: D O D D. 9 E.. Given: with radius 0 cm, RS = 6 cm, QS is tangent to at Q Find: QS R. 0 cm. cm. 0 cm D. cm E. 4 cm Q S. If you reflect a geometric figure in two intersecting lines that make an angle of 0 o with each other, then the result is the same as:. a rotation through 0 o. a rotation through 40 o. a rotation through 0 o D. a rotation through 90 o. What is the locus of points that are equidistant from the three sides of a triangle?. The center of its inscribed circle. The center of its circumscribed circle. Its centroid D. Its orthocenter E. Its ecenter Geometry: Second Semester Final Eam age of

6 4. Which of the following objects has the top view shown here? Top view... D. E.. The solid object on the right is made of 8 cubes glued together. Each of these cubes measures one cubic inch. What is the volume of that object?. 4 in. 64 in. 6 in D. 8 in E. in 6. What is the volume of a cube which has a surface area of 84 in?. 04 in. 768 in. 6 in D. in E. in 7. How many cubic inches are in a cubic foot? D. 78 E. Geometry: Second Semester Final Eam age 6 of

7 8. The volume of the cube pictured on the right is in. What is the volume a cube whose edges are twice as long as the edges of this cube?. 7 in. 0 in. 6 in D. 00 in E. 000 in 9. crate (right rectangular prism) is made from ½ inch thick plywood. The inside dimensions are ft by in by ft. What is the capacity (volume of the inside) of that crate? ft. 40 in. 0 in. 080 in D. 00 in E. 60 in ft in 0. The altitude of a regular, right heagonal prism is 9 inches, and the area of each base is 40 square inches. What is the volume of this prism?. 40 in. 60 in. 60 in D. 840 in E. 0 in 40 in 9 in largest face roblems -: The bases of a right prism are isosceles right triangles. The prism is 9 cm long, and the area of each base is 6 cm. 9 cm. What is the volume of that prism? area of base = 6 cm. 7 cm. 96 cm. 44 cm D. 88 cm E. 08 cm. What is area of the largest face of that prism?. 6 cm. 4 cm. 48 cm D. 7 cm E. 44 cm Geometry: Second Semester Final Eam age 7 of

8 roblems -4: soup can has a diameter of 6.7 cm and is 0 cm tall. 6.7 cm. The label is printed on a rectangular sheet of paper that is 0 cm wide and how long?..0 cm. 0. cm..4 cm 0 cm D..6 cm E. 7.6 cm 4. What is the volume of soup the can will hold? cm. 0.4 cm cm D cm E..7 cm roblems -6: right, circular cone and a right, circular cylinder have congruent bases.. If the slant height of the cone is the same as the height of the cylinder, what is the ratio of the cone s lateral surface area to the cylinder s lateral surface area?... D. E If the cone and the cylinder have the same heights, what is the ratio of the cone s volume to the cylinder s volume?... D. E. 4 Geometry: Second Semester Final Eam age 8 of

9 roblems 7-40: elow is a net for the right rectangular pyramid with a square base pictured on the right: 7. What is the slant height of this pyramid?. 9 ft. ft. D. 9 ft E. 9 ft 8. What is the total surface area of this pyramid? ft. 88. ft. 446 ft D. 7. ft E ft 9. What is the altitude of this pyramid?. 9 ft. ft. 9 ft D. 9 ft E. 8 ft 40. What is the volume of this pyramid? ft ft. 6.4 ft D. 40. ft E. 0.6 ft 4. beach ball has a diameter of 0 inches. What is its volume?. 8,74. in. 0.6 in. 94. in D. 4,7. in E. 88. in 0 in Geometry: Second Semester Final Eam age 9 of

10 4. Which of the following is true for the triangle on the right?. sin R =. sin = m R. cos R = D. 8 E. tan = m R 6 cos = 6 0 R 0 cm 6 cm M 8 cm T 4. If tan =, then how long is QR? Q D. 9 E. 8 R 44. If one leg of a right triangle is three times as long as the other leg, then what is the measure of the smallest angle in this triangle?. 6.7 o. 8.4 o.. o D. 0 o E. 7. o 4. Find in the following right triangle: D..4 E..7 o 46. Find in this triangle: D..4 E..7 o 9 o What is the length of side Q in the triangle on the right?..4 m..4 m. 9. m D. 7.0 m E. 8.7 m m R 0 o m Q Geometry: Second Semester Final Eam age 0 of

11 48. What is the area of a sector of 7 o in a circle with radius 0 cm? 7 o 0 cm. 0π cm. 0π cm. 6π cm D. 40π cm E. π cm 49. The area of the triangle on the right is:..8 cm cm cm 07 o 9 cm 6 cm D..60 cm E cm 0. What is the area of the triangle whose sides measure cm, 4 cm and cm?. 84 cm. 84 cm. 9 cm cm 4 cm D. 08 cm E. cm cm Geometry: Second Semester Final Eam age of

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