2nd Semester Geometry Final Practice Exam

Chapters 7-12

1. ∆ABC is a right triangle. What is the length of side AB?

A.4.24B. 13.04 C. 18 D. 20

2. In the diagram below, AC =10 and AB = 25. What is the length of side BC?

A. 22.91B. 26.93 C. 30.24 D. 35

3. If the side lengths of a triangle are 4, 15 and 20, then the triangle is ______.

A. acuteB. right C. obtuseD. cannot be formed

4. Find the value of x.

A. 7B. 9.9 C. 12.12D. 14

5. Find the value of x.

A. 9B. 12.73 C. 15.59D. 18

6. ∆ABC is a right triangle. Tan A = . Find Cos A.

A. B. C. D.

7. Find tan x as a fraction in the simplest form.

A. B. C. D.

8. The sine of A is the ratio ______.

A. B. C. D.

9. Which expression could be used to find the value of x?

A. sin35 B. cos 35 C. cos 35 D. tan35

10. Find the measure of the missing angle.

A. 125ºB. 115º C. 45ºD. 120º

11. Find the value of x.

A. 26ºB. 80ºC. 115ºD. 116º

12. Find the values of p and q.

A. p=108, q=29B. p = -28, q = 13C. p = 8, q = 29D. p = 108, q = 21

13. Find the value of x.

A. 9B. 18 C. 27D. 36

14. What value of x makes quadrilateral STUV a parallelogram?

A. 7B. 14C. 51D. 102

15. ABCD is an isosceles trapezoid.If AB = 3x – 1, BC = 2x + 3, and CD = 4x – 6, find the value of x.

A. 5B. -5 C. 1D. -1

16. Find the length of the midsegment MN.

A. 10B. 13.5 C. 14D. 18

17. Find the measure of D.

A. 50ºB. 85ºC. 120ºD. 140º

18. A'B'C is the image of  ABC after a translation. Find the rule of the translation.

A. (x,y)(x-3,y-1) B. (x,y)(x+1,y+3)C. (x,y)(x-1,y-3)D. (x,y)(x+3,y+1)

19. The graph to the right shows a reflection in which line?

A. the x-axisB. the y-axis C. y = xD. y = -x

20. How many lines of symmetry does the figure to the right have?

A. 1B. 2 C. 4D. 6

21. How many lines of symmetry does the figure to the right have?

A. 1B. 2 C. 4D. 6

22. A ______is a segment whose endpoints are on the circle.

A. chordB. secant C. tangentD. radius

23. Use the figure below. Segment NP is tangent to M at point N. Which statement is true?

A. PN = PMB.MNP = 90º C. NMP = 90º D. MN = PM

24. Segment AB is tangent to C at B and segment AD is tangent to C at D. Find the value of x.

A. 13B. 7 C. 4D. 2

25. In W to the right, what is the measure of arc XY?

A. 47ºB. 82ºC. 129ºD. 176º

26. In W to the right, what is the measure of arc YTZ?

A. 129ºB. 176ºC. 184ºD. 231º

27. Chords EC and AD are diameters in P. Find the measure of arc DE.

A. 110ºB. 135ºC. 145ºD. 155º

28. In O, the measure of arc ACB is 256º. Find the measure of AOB.

A. 52ºB. 104ºC. 128ºD. 256º

29. If the measure of arc KM is 112º, find the measure of arc LM.

A. 60ºB. 112ºC. 124ºD. 248º

30 If the measure of arc KM is 112º, find the measure of KLM.

A. 56ºB. 112ºC. 124ºD. 248º

31. Find the value of y.

A. 80ºB. 85ºC. 95ºD. 100º

32. Find the area of the polygon to the right.

A. 18 units2B. 36 units2C. 45units2D. 81 units2

33. Find the area of the parallelogram.

A. 15.5 cm2B. 30cm2C. 31cm2D. 60 cm2

34. Find the area of the equilateral triangle with side length 8.

A. units2B.units2C. 24units2D. 32 units2

35. Find the area of the polygon.

A. 42in2B. 120in2C. 180in2D. 360in2

36. Find the area of the polygon.

A. 14.5units2B. 29units2C. 95 units2D. 190 units2

37. Find the circumference of the circle to the right. Use 3.14 for π.

A. 47.1 mB. 94.2 m C. 176.625m D. 706.5m

38. Find the area of the circle to the right. Use 3.14 for π.

A. 47.1 m2B. 94.2 m2 C. 176.625m2 D. 706.5m2

39. Find the area of a regular pentagon with apothem = 3.5 cm and length of side = 6 cm.

A. 21 cm2B. 52.5 cm2C. 60 cm2D. 105 cm2

40. Find the area of the shaded sector. Use 3.14 for π.

A. 5.23 in2B.52.3 in2C. 60 in2D. 100 in2

41. Identify the polyhedron with the most specific name.

A. Hexagonal Pyramid B. Hexagonal Prism C. Hexagonal Cylinder D. Hexagonal Rectangle

42. Find the surface area of the cylinder.

A. 26π ft2B. 30π ft2C. 32πft2D. 34π ft2

43. Find the surface area of the regular pyramid.

A. 2736 m2B. 2256 m2C. 4512m2D. 5472m2

44. Find the surface area of the right cone.

A. 60πin2B. 75π in2 C. 90π in2 D. 180π in2

45. Find the volume of the right cylinder.

A. 175π cm3B. 90π cm3C. 70π cm3 D. 35π cm3

46. Find the volume of the right prism.

A. 100 in3B. 144 in3 C. 200 in3 D. 288 in3

47. Find the volume of the aquarium which is a rectangular prism and measures 3.5 ft by 3 ft by 2 ft.

A. 8.5 ft3B. 10.5 ft3C. 21ft3D. 25 ft3

48. Find the volume of a square pyramid with height 12 m. and sides of base 10 m.

A. 120 m3B. 400 m3C. 800 m3D. 1200 m3

49. Find the surface area of a globe with a diameter of 24-inches. Use 3.14 for π.

A. 3617.28 in2B. 7234.56 in2 C. 904.32 in2 D. 1808.64 in2

50. Find the volume of a sphere with a diameter of 12 cm. Use 3.14 for π.

A. 75.4 cm3B. 150.7 cm3C. 904.32cm3 D. 7234.6 cm3

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