Practice Honors Geometry Semester 2 Exam



Practice Honors Geometry Semester 2 Exam

Short Answer

Explain why the triangles are similar. Then find the value of x.

1. [pic]

The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.

2. [pic][pic]

3. Use the information in the diagram to determine the height of the tree to the nearest foot.

[pic]

4. To approach the runway, a small plane must begin a 9[pic] descent starting from a height of 1629 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

[pic]

5. A slide 4.1 meters long makes an angle of 35[pic] with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

[pic]

6. What is the most precise name for quadrilateral ABCD with vertices A(–5, 1), B(–3, 3), C(6, 3), and D(4, 1)?

7. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to

scale.

[pic]

8. DEFG is a rectangle. DF = 6x – 2 and EG = x + 18. Find the value of x and the length of each diagonal.

9. How many sides does a regular polygon have if each exterior angle measures 40?

10. A nonregular hexagon has five exterior angle measures of 55, 55, 69, 57, and 52. What is the measure of the interior angle adjacent to the sixth exterior angle?

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

11. [pic]

12. [pic], [pic], [pic], MN = 4 feet

[pic]

13. [pic]

14. [pic]

15. AB = 15, BC = 7, and CD = 6

[pic]

Use the diagram. [pic] is a diameter, and [pic]. The figure is not drawn to scale.

[pic]

16. Find [pic] for [pic] = 43.

17. Find m(arc BD) for m(arc AC) = 35.

18. m[pic]R = 39. Find m[pic]O. (The figure is not drawn to scale.)

[pic]

19. If m(arc BY) = 49, what is m[pic]YAC? (The figure is not drawn to scale.)

[pic]

20. Find m[pic]D for m[pic]B = 68. (The figure is not drawn to scale.)

[pic]

21. Find the value of x for m(arc AB) = 22 and m(arc CD) = 39. (The figure is not drawn to scale.)

[pic]

In the figure, [pic] and [pic] are tangent to circle O and [pic] bisects [pic]. The figure is not drawn to scale.

[pic]

22. For [pic] = 41, find [pic].

23. [pic] and [pic] are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)

[pic]

24. [pic] is tangent to circle O at B. Find the length of the radius r for AB = 6 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale.

[pic]

25. Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 5, ST = 5,

TU = 11, UV = 6, and VR = 7. The figure is not drawn to scale.

[pic]

Find the area. The figure is not drawn to scale.

26. [pic]

27. The area of a parallelogram is 80 cm2 and the height is 20 cm. Find the corresponding base.

28. Find the area of the rhombus. Leave your answer in simplest radical form.

[pic]

Find the area of the trapezoid. Leave your answer in simplest radical form.

29. [pic]

Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

30. [pic]

Find the circumference. Leave your answer in terms of [pic].

31. [pic]

Find the area of the circle. Leave your answer in terms of [pic].

32. Find the area of the shaded portion of the figure. Dimensions are in feet. Leave your answer in terms of π.

[pic]

33. Find the area of the figure to the nearest tenth.

[pic]

34. Find the area of the shaded region. Leave your answer in terms of [pic] and in simplest radical form.

[pic]

Find the surface area of the cylinder in terms of [pic].

35. [pic]

Find the surface area of the pyramid shown to the nearest whole number.

36. [pic]

37. Find the slant height of the cone to the nearest whole number.

[pic]

Find the volume of the given prism. Round to the nearest tenth if necessary.

38. [pic]

Find the volume of the cylinder in terms of [pic].

39. [pic]

Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.

40. [pic]

41. The volume of a sphere is 4000[pic] m[pic]. What is the surface area of the sphere to the nearest square meter?

42. A balloon has a circumference of 19 in. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

Practice Honors Geometry Semester 2 Exam

Answer Section

SHORT ANSWER

1. AA Postulate; [pic]

2. x = 9, y = 27

3. 80 ft

4. 2 mi

5. 2.4 m

6. parallelogram

7. x = 7, y = 2

8. x = 4, DF = 22, EG = 22

9. 9 sides

10. 108

11. 13.27

12. 2 ft

13. 15

14. 13.3

15. 19.67

16. 68.5

17. 145°

18. 78

19. 65.5

20. 44

21. 30.5[pic]

22. 41

23. 237

24. 10

25. 6

26. [pic]

27. 4 cm

28. [pic]

29. [pic][pic] ft2

30. 10.5 m[pic]

31. [pic] cm

32. [pic]

33. 57.7 in.2

34. [pic]

35. 258.5[pic] cm[pic]

36. 80 ft[pic]

37. 20 m

38. 17 m[pic]

39. 490[pic] in.[pic]

40. 512 ft[pic]

41. 2614 m[pic]

42. 115 in.[pic]

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