# Name: Second semester Exam Honors geometry Agan and Mohyuddin. May 13, 2014

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1 Name: Second semester Exam Honors geometry Agan and Mohyuddin May 13, A circular pizza has a diameter of 14 inches and is cut into 8 equal slices. To the nearest tenth of a square inch, which answer represents the area of one slice? F in 2 G 44.0 in 2 H 22.0 in 2 J 19.2 in 2 2. What is the value of x? A 2 B 8 C 10 D An arc in a circle with a radius of 15 meters measures 48. What is the arc length to the nearest tenth? F 4 m G 12.6 m H 48 m J m 4. To the nearest tenth, what is KL? A 26.3 B 42.0 C 52.6 D 84.1

2 5. To the nearest whole number, what is the area of a regular octagon with a side length of 8 centimeters? F 128 cm 2 H 309 cm 2 G 256 cm 2 J 618 cm 2 6. When Sandra lowered the venetian blind, it fell crooked and stopped as shown. What area of the window did the blind cover? A 102 in 2 C 660 in 2 B 616 in 2 D 812 in 2 7. A skateboard ramp is 3.5 feet high and 6 feet long along the horizontal. To the nearest degree, what is the measure of the angle that the ramp makes with a horizontal line? F 27 H 60 G 30 J 63 Two sides of a triangle measure 15 centimeters and 12 centimeters. The included angle measures 64. To the nearest tenth, what is the length of the third side? A 6.0 cm B 14.5 cm C 19.2 cm D 23.0 cm 8. Ann is 5 feet 3 inches tall. To find the height of a lamppost, she measured her shadow to be 8 feet 9 inches and the lamppost s shadow to be 12 feet. To the nearest inch, what is the height of the lamppost? A 6 ft 3 in. B 7 ft 2 in. C 15 ft 0 in. D 20 ft 0 in.

3 9. The ratio of the sides of a triangle is 3 : 5 : 6. If the longest side is 8 inches, what is the length of the shortest side? A 2.25 in. B 4 in. C 4.5 in. D 5 in. 10. What is PR? F 4.1 H 6.2 G 5.6 J Which statement is NOT always true? F A rhombus is a square. G A rhombus is a parallelogram. H A square is a rectangle. J A rectangle is a parallelogram. 12. The vertices of a quadrilateral are (4, 6), (7, 2), (1, 5), and (4, 3). Which is the best classification for the quadrilateral? A parallelogram C rectangle B rhombus D square 13. The vertices of a quadrilateral are (4, 6), (7, 2), (1, 5), and (4, 3). Which is the best classification for the quadrilateral? A parallelogram C rectangle B rhombus D square 14. The vertices of a quadrilateral are (4, 6), (7, 2), (1, 5), and (4, 3). Which is the best classification for the quadrilateral? A parallelogram C rectangle B rhombus D square 15. Which statement is NOT always true?

4 F A rhombus is a square. G A rhombus is a parallelogram. H A square is a rectangle. J A rectangle is a parallelogram. 16. What is m RST? F 27 G 54 H 76.5 J To the nearest tenth, what is the area of a sector with a radius of 8 centimeters and a central angle of 45? A 4.5 cm 2 C 50.3 cm 2 B 25.1 cm 2 D cm To the nearest tenth, what is the area of the shaded region? F 35.0 cm 2 G 44.0 cm 2 H 51.5 cm 2 J cm To the nearest tenth, what is the area of the regular hexagon? A cm 2 C cm 2 B cm 2 D cm The legs of a right triangle measure 14 and 25. To the nearest tenth of a degree, what is the measure of the angle opposite the shortest side? F 29.2 H 55.9 G 34.1 J 60.8

5 22. A forest ranger in a 100 foot observation tower sees a fire. The angle of depression to the fire is 4. To the nearest foot, what is the horizontal distance between the tower and the fire? A 100 ft C 1433 ft B 1430 ft D 1434 ft 23. The figure is a rectangle. What is x? A 29 C 61 B 58 D A water slide in the middle of a water park pool has opposite sides in the shape of a trapezoid. Half of the slide is below water level. What is the length of the base of the slide? F 5.7 m G 6 m H 7 m J 7.8 m 25. What is the classification of PQR according to its angles? A right B obtuse C acute D equiangular 26. What is m K? F 15 G 25 H 45 J Which can be used to prove TUV VWT? A SAS B AAS C ASA D HL 28. What is m R? F 45 G 52.5

6 H 63 J If P is the incenter, what is PK? A 3.2 cm B 4.0 cm C 4.2 cm D 4.4 cm 30. What is x? F 1 cm H 1.75 cm G 1.5 cm J 2 cm 31. Which inequality shows all possible solutions for x? F x 6 G x 6 H J 32. The circumference of a circle is square centimeters. What is the diameter of the circle to the nearest tenth? F 6.5 cm H 21.4 cm G 13.1 cm J 42.9 cm 33. What is sin 49 to the nearest tenth? A 0.7 C 1.2 B 0.8 D 1.3

7 34. What is the value of n? F 39 H 63 G 54 J What is the value of h? A 6 C 10 B 7.5 D The measures of the interior angles of a polygon total How many sides does the polygon have? A 6 C 9 B 7 D The triangle is an equilateral triangle. What is the value of n? F 3 H 25.5 G 18 J The slope of a line is 8. What is the slope of a line that is perpendicular to that line? A 8 C B D What is the slope of the line whose equation is y 9 4(x 1)? F 4 H G 1 J 4

8 40. From the top of a canyon, the angle of depression to the far side of the river is 52. The angle of depression to the near side of the river is 79. The depth of the canyon is 400 feet. To the nearest foot, how wide is the river at the bottom of the canyon? A 104 ft B 204 ft C 235 ft D 785 ft 41. One angle of a rhombus measures 60. Each side measures 28 inches. What is the area to the nearest square inch? A 392 in 2 C 784 in 2 B 679 in 2 D 1358 in The apothem of a 40 sided regular polygon is 11.4 meters. To the nearest square meter, what is its area if each side measures 1.9 meters? F 266 m 2 H 532 m 2 G 433 m 2 J 866 m PQRS is a parallelogram. What is the value of x? A 3 C 14 B 4.5 D is the perpendicular bisector of What is LM? F 45 H 77.5 G 55 J What is the value of x?

9 F 20 G 30 H 40 J Which are the side lengths of an obtuse triangle? A 8, 11, 15 C 8, 9, 11 B 8, 11, 11 D 8, 8, What is JK? F 20 G 40 H 25 J Two sides of a triangle are 15 inches and 18 inches long. Which is the least possible whole number length of the third side? A 1 in. B 2 in. C 3 in. D 4 in. 49. One leg of a triangle measures 12 centimeters. What is the length of the hypotenuse? F cm H cm G cm J cm 50. What is the measure of one interior angle of a regular polygon that has 40 sides? A 9 C 140 B 40 D The diagonals of a rhombus are congruent. What is the best name for the figure? F parallelogram G rhombus H rectangle J square

10 52. In RST, ms 49 and mt 52. Which list shows the side lengths from least to greatest? F ST, RT, RS H RT, RS, ST G ST, RS, RT J RT, ST, RS 53. What is the slope of a line parallel to a line whose slope is? F H G J 54. KLMN is a parallelogram. What is the length of? A 32 C 38 B 36 D KITE is a kite. What is mite? F 30 H 80 G 40 J What is AD? F 2.5 H 11.9 G 6 J The altitude of an equilateral triangle measures 8. What is the length of one side? A 4 C 16

11 B 8 D The circumference of a circle is 16 meters. What is the area of the circle? F 8 m 2 H 256 m 2 G 64 m 2 J 1024 m Which is the measure of a right angle? A 80 C 100 B 90 D What is the measure of PQW? F 44.4 H 46.0 G 45.6 J The length and width of a rectangle are (x 3) and (x 4), respectively. The area is 120 square units. What is the perimeter of the rectangle? A 21 units B 23 units C 42 units D 46 units 62. PQRS is a parallelogram. What is PR? A 23 C 28 B 26 D If possible, find a value for x.

12 F 15 H 18 G 16 J Not here 64. What is the measure of 1? A 34 C 68 B 56 D The hypotenuse of an isosceles right triangle is 6. What is its area? F 4.5 H 18 G 9 J Four angles of a pentagon measure 30, 73, 150, and 112. What is the measure of the fifth angle? F 5 G 65 H 85 J One base angle of an isosceles triangle measures 25. What is the measure of the vertex angle? F 155 G 130 H 65 J bisects SRA. Suppose mlra 45. What type of angle is SRA? F acute H right G obtuse J straight

13 69. An equilateral triangle has an area of square inches. How many inches is the perimeter? A 9 C 18 B D 70. The sum of the measures of two vertical angles is 44. What is the measure of the supplement of one of those angles? F 158 H 68 G 136 J 46

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