S P. Geometry Final Exam Review. Name R S P Q P S. Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be:

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1 Geometry Final Exam Review Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be: Name 6. Use the graph below to complete the sentence. 2. If you reflect the point (2, -6) in the y-axis, the coordinates of the image would be: 3. What are the coordinates of the vertices when the figure is reflected in line m? Figure rotation is the image of figure ABCD under a Chapter 8 P R 8. If, which of the following is NOT true? 4. The motion rule for this transformation of ABC onto A BC is (x,y) (, ). [E] P+ [C] P R = R+ [A] R P [D] P = R [B] PR = 9. If two polygons are IMILAR, then the corresponding angles must be. 10. If two polygons are IMILAR, then the corresponding sides must be. 5. Refer to the figure below. 11. One standard photograph size is a 8 in. 10 in. rectangle. Which of these other standard rectangular sizes is similar to it? [A] 4 in. 5 in. [B] 11 in. 14 in. A B C D E [C] 5 in. 7 in. [D] in in. Which statements are true? [A] Figure E is a rotation of figure B. [B] Figure D is a translation of figure B. [C] Figures C and E are translations of figure A. [D] Figure C is a reflection of figure D. 12. Which of the following is a way to show that two triangles are similar? [A] two angles of one are congruent to two angles of the other [B] two sides of one are proportional to two sides of the other [C] a side of one is congruent to a side of the other [D] an angle of one is congruent to an angle of the other

2 13. Given that solve for x and y. A ABC ~ DEF, 9 D y 6 x Chapter Find the length of side B C E 5 4 F 14. The dashed triangle is the image of the solid triangle for a dilation with center at the origin. What is the scale factor? 20. Use trig ratios to find a and b: a b 15. The scale factor for the dilation shown below is. 21. Find x. Round to the nearest degree x 22. Find the sin, cos, and tan B. 16. Given:. Find the length of AB 23. How long is a string reaching from the top of a 20-ft pole to a point 10 ft from the base of the bottom of the pole? Give an exact answer and an approximation to 3 decimal places. 24. A slide 4.3 m long makes an angle of 31 with the ground. How high is the top of the slide above the ground? 18. Two ladders are leaning against a wall at the same angle as shown. How far up the wall does the shorter ladder reach? ? 25. Find the value of x. x x Elena needs to make a poster that is 3.75 m by 6 m for the big game. The cost of the paper is $5.00. Later she needs another poster with dimensions 1.25 m by 2 m. What is the paper for this poster likely to cost? 26. A triangle has side lengths of 6, 9, and 11. Determine if the triangle is right, acute, obtuse, or not a triangle. 27. The shorter leg of a triangle is 5.2 feet long. Find the long leg and the hypotenuse..

3 28. In a triangle, the ratio of the length of the hypotenuse to the length of a side is. 2 3 [A] 1:1 [B] :1 [C] :1 [D] 2:1 36. A small messenger company can deliver only in a small part of the city. Write an equation for the boundary where the company delivers, and find its radius. Each unit represents one block. 29. The city commission wants to construct a new street that connects Main treet and North Boulevard as shown in the diagram below. The construction cost has been estimated at $110 per linear foot. Find the estimated cost for constructing the street. (1 mile = 5280 ft) (new street) W 4 mi North Blvd. 89mi. Main t. E 37. The circle is circumscribed by the pentagon as shown (not drawn to scale). If find the perimeter of the pentagon. 30. For each set of numbers, determine whether the numbers represent the lengths of the sides of an acute triangle, a right triangle, an obtuse triangle, or no triangle. 42, 29, 13 A. B. 8, 8, 15 C. 2.8, 9.6, Given: In, m = 316. Find the measure of angle B. Chapter A segment with endpoints on a circle is a. 32.The center of a circle lies on. 33. A line which intersects a circle at exactly one point is called. 39. m = 91, m = 31 Find mdoc. 34. Write the standard equation of a circle with its center at the origin and radius The standard equation of a circle with center (5,-2) and radius 4 is. 40. Given m = 106, m = 136, find x.

4 49. For a circle of radius 9 feet, find the length of an arc s with a measure of 26. AB 50. Find the arc length of to two decimal places. 41. olve for x x 51. The figure below represents an oval track. The rounded portions of the track are semicircles. What is the length of the track? 42. A footbridge is in the shape of an arc of a circle. The bridge is 11 ft tall and 26 ft long, horizontally. What is the radius of the circle that contains the bridge? Chapter The measure of each interior angle of a regular heptagon is. 10 ft 10 ft 96 ft 52. Each circle is tangent to the other two. If the diameter of the large circle is 20, the area of the shaded region is. 44. Find the number of sides of a convex polygon if the measures of its interior angles have a sum of Find the measure of an interior angle and an exterior angle of a regular polygon with 5 sides. 53. The ratio of the side lengths of two regular hexagons is 3 to 5. If the area of the smaller hexagon is 9 square units, then the area of the larger hexagon is. 46. Find the area of a regular octagon with side length 3 cm. 47. A regular hexagon has an apothem of 6 and a side length of. Its area is. Chapter A polyhedron has 9 faces and 21 edges. How many vertices does it have? Explain your answer. 48. An automobile has 22-inch diameter wheels. If the wheels revolved three times after the brakes were applied, the stopping distance was approximately.

5 55. Describe the cross section. 60. The nose cone of a small rocket is going to be covered with heat-resistant tiles. The nose cone is a cone without a base, with dimensions shown in the figure. What is the slant height of the nose cone? A prism is a polyhedron that has two faces called bases that are always Find the surface area of the right prism. 61. To the nearest square inch, approximately many square inches of rocket nose cone (shown above) must be covered with heat-resistant tiles? 62. The volume of the pyramid below is. 48 m 42 m 8 ft 40 m 58. If two solids have the same height and the same cross-sectional area at every level, then they have the same ft 59. Find the surface area of this square pyramid if the height of each triangular face is 11 meters and the length of each side of the base is 10 meters. 63. Find the surface area of a sphere that has a diameter of 30 cm. Express your answer in terms of The inside of an ice cream cone is filled with ice cream and has radius and height Assuming that a half-scoop of ice cream is in the shape of a hemisphere, and that it fits perfectly on top of the cone (same radius), find the total volume of ice cream. Use 3.14 for and round your answer to the nearest tenth.

6 65. The top of the cylindrical container shown has the shape of a hemisphere. The total volume of the container is. Misc. 69. The surface area of two similar solids are 63 m 2 and 700 m 2. The volume of the larger one is 1000 m 3, what is the volume of the smaller one? 4 in. 7 in. 66. The box shown is a candy container with a square base and a pyramidal top. How many square inches of pasteboard are need to make the box, not counting any overlapping edges? 70. A wooden fence is to be built around a 40 m-by-58 m lot. How many meters of fencing will be needed? If the wood for the fence costs $24.50 per meter, what will the wood for the fence cost? 71. How many square yards of carpet are needed to carpet a room that is 15 feet by 35 feet? 6 in. 6 in. 72. You have a part-time job at a school. You need to buy enough grass seed to cover the school s soccer field. The field is 60 yards wide and 95 yards long. The instructions on the seed bags say that one bag will cover 2500 square feet. How many bags do you need? 67. A concrete block has a cylindrical hole 4 feet in diameter drilled through it to allow a pipe to pass through. How many cubic feet of concrete are left in the block? Use 3.14 as an approximation for answer to the nearest tenth. 5.5 ft. 5.5 ft. and round your 73. Henry wants to use 60 feet of fencing to enclose part of his yard for a garden. Which of the figures described would use all 60 feet of fencing and enclose the largest area of Henry's yard? a. A rectangle with a length of 20 feet and a width of 10 feet b. A rectangle with a length of 25 feet and a width of 5 feet c. A square with a side length of 15 feet d. A circle with a radius of about 8.8 feet 74. Draw all lines of symmetry for each figure. 5.5 ft. 68. The ratio of the radii of two spheres is 2:5, and the volume of the larger sphere is 25 m 3, what is the volume of the smaller sphere?