MR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011 PAGE 1

1. The area of a circle is 25.5 in.2. Find the circumference of the circle. Round your answers to the nearest tenth.

2. The circumference of a circle is 13.1 in. Find the area of the circle. Round

your answers to the nearest tenth. 3. Find the area of the equilateral triangle below: 4. Find the area and perimeter of the square below: 5. A blueprint of a house to be constructed shows all parts the same shape

as those of the actual house and sizes that are proportional to corresponding parts of the actual house. What geometric relationship does this model illustrate?

a) congruence b) symmetry c) similarity d) parallelism 6. Find sin F and sin G (as a decimal)-

7. Determine whether the following can form a right triangle:

a) 3, 4, 5 b) 1, 1, 2 c) 5, 12, 13 d) 6, 8, 10

96

28

140

H G

F

6

2√3

MR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011 PAGE 2

8. If the area of a square is 33.64 inches squared, what is the length of each

side? 9. If the area of a triangle is 210 inches squared and the base is 50 inches,

what must be the height?

10. If a line has a slope of 3/4, find: a) a line parallel b) a line perpendicular with y-intercept -2

11. If the point (-2, 3) is reflected over the x-axis, find its new coordinates. 12. If the point (-4, -1) is reflected over the y-axis, find its new coordinates.

13. In isosceles triangle KLM, angle M is the vertex angle. Find the measure of angle K, if angle M is 54 degrees. 14. Which of the following sets of numbers can be the sides of a triangle? a) 5, 10. 15 b) 35, 45, 9 c) 3, 4, 9 d) 6, 7, 10 16. List the sides in order from shortest to longest

17. Find the measure of angle BCA

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18. Quadrilateral ABCD is similar to Quadrilateral RSTU. Find X.

Use this diagram for 19-21

19. If the measure of angle RST = x + 20 and measure of angle STU = 2x + 10, find the measure of angle RST. 20. If ST = 2x + 10 and RU = 5x -2, find ST. 21. If SV = 2y + 6 and SU = 24, find the value of y. 22.

10 24

Find the length of the summation vector. (Consider Pythagorean Theorem.)

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23. Which theorem proves these congruent?

A)

B) 24. Find the value of Y

25.

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26.

27. Find the measure of the hypotenuse of a right triangle if the legs are 3 and 4.

28. A line passes through (2,3) and (3,2). What is true about the slope of the line?

29. Triangle ABC can be classified as: 30. Find the perimeter of ∆DEF

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31. C Find OB if AC = 8, BC = 12, AB = 10 A O B 32.

33. A triangle

A) is a 3 sided polygon B) is the union of three rays C) has 4 angles D) has 4 sides

34. A regular hexagon

can tessellate B) cannot tessellate C) has an interior angle of 30 D) has 7 sides

35. The two sides of a rectangle are 8 cm. and 5 cm. Find area. 36. A Triangle has a base of 4 yards and a height of 6 yards. Find area. 37. The volume of a rectangular prism with a length of 8, width is 4, and height is 5 is:

38. The volume of a Sphere with a radius of 18 is

x

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39. The volume of a right circular cone with a radius of 3 and a height of 4 to t the nearest whole number is: 40. Surface Area of a cylinder with a radius of 3.2 cm and a height of 10.5 cm is: 41. Find the interior angle AND the number of sides: a) triangle b) quadrilateral c) pentagon d) heptagon e) hexagon f) nonagon g) decagon h) dodecagon

42. A regular polygon:

A) Has all sides congruent B) Is Convex C) Neither A nor B D) Both of these

43. The circumference of a circle with a radius of 2 is: 44. The diagonals of a rhombus:

A) Bisect each other B) are perpendicular C) bisect opposite angles D) All of these

45. Which term best describes XY? a) tangent b) chord c) secant d) diameter

Use the diagram below for questions 46 and 47.

46. What is the measure of arc XY? a) 47º b) 82º c) 129º d) 176º

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47. What is the measure of arc YZ? a) 47º b) 82º c) 176º d) 184º 48. Find the exact length of the arc AB.

r = 10 in A

1200

B 49. An escalator is 10 feet high with a 300 incline. How long is the escalator?

x ft 10 ft

300

50. An airplane rises 500 ft vertically over a horizontal distance of 800 ft. What is the angle of elevation?

500 ft

x0

800 ft 51. How far is the ladder from the bottom of the tree, if the ladder is 10 ft long?

240

x 52. How far is the girl from the monument 80 m high?

550 x

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53. What is the angle of elevation?

600 ft 200 ft

x0 54. What is the angle of elevation of the chair?

22 in 55. What is the height of the mountain if the angle of elevation is 470 and the slope is 750 ft long?

750 ft x 470

56. A submarine traveled through the water 500 m. It was at that time 45 m below the surface. What was the angle of depreciation?

x0

45 m 500 m

MR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011 PAGE 10 57. A ladder 20 ft long rests against a wall and makes a 650 angle with the ground. How far up is the top of the ladder? ladder x 650

58. ABCD is a rectangle. Find x, if AD = 2x + 12 and CB = 5x – 3. A B

C D

59. ABCD is a rectangle. Find x, if AD = 4x + 2 and CO = x + 10. A B

C D

60. ABCD is a rectangle. Find m∠1 and m∠6, if m∠8 = 500. 1 2 8 3 7 6 5 4

61. ABCD is a rectangle. Find m∠8 and m∠6, if m∠3 = 400. 1 2 8 3 7 6 5 4

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62.Use rhombus ABCD. If m∠DAC = 250. Find m∠DCB, m∠ABC, and m∠ADB. A B D C 63) Use trapezoid ABCD. Find x, if MN = 2x + 24, AB = 3x + 2, and CD = 7x + 4. A B M N D C