1. Measurement and Geometry Released SOLs

2. Which of the following is always true? (SOL 8.6)1234567891011121314151617181920212223242526272829303132 1.If two angles are vertical angles, the sum of their measures is 90. 2.If two angles are vertical angles, the sum of their measures is 180. 3.If two angles are vertical angles, one measures more than 90 and one measures less than 90. 4.If two angles are vertical angles, each has the same measure.

3. If ∠ QRS and ∠ XYZ are complementary, which must be true? (SOL 8.6)1234567891011121314151617181920212223242526272829303132 One of the angles can measure between 90 and 180. The sum of the measures of the angles is 90. The sum of the measures of the angles is 180. Both angles must measure more than 90.

4. What is the volume of the square-based pyramid shown below? (SOL 8.7)1234567891011121314151617181920212223242526272829303132 1.20 cm 3 2.60 cm 3 3.120 cm 3 4.360 cm 3

5. Which is closest to the volume of the cone shown below? (SOL 8.7)1234567891011121314151617181920212223242526272829303132 1.87.9 cm 3 2.395.6 cm 3 3.527.5 cm 3 4.1582.6 cm 3

6. In which graph is the white figure a reflection of the dark figure over the x-axis? (SOL 8.8) A. B. C. D. 1234567891011121314151617181920212223242526272829303132

7. This shows three different views of a three- dimensional figure constructed from cubes. Which of the following could be the figure? (8.9) A.B. C. D. 1234567891011121314151617181920212223242526272829303132

8. What is the length of BC? (SOL 8.10b)1234567891011121314151617181920212223242526272829303132 1.3 cm 2.7 cm 3.√17 cm 4.√115 cm

9. In ABC, AB measures 6 centimeters and BC measures 8 centimeters. What is the length of AC? (SOL 8.10b)1234567891011121314151617181920212223242526272829303132 1.1.41 cm 2.2 cm 3.5.29 cm 4.10 cm

10. This solid is composed of cubes, all of which are the same size. Using an edge of a cube as one unit, which could be the volume of the figure? (8.9) 12345 A.28 cubic units B.24 cubic units C.20 cubic units D.16 cubic units 2004

11. Which is closest to the volume of this circular cone? (8.7) 12345 A.150.8 cm 3 B.452.4 cm 3 C.603.2 cm 3 D.1,809.6 cm 3 2004

12. What is the volume of the square-based pyramid shown below? (8.7) 12345 A.9 cm 3 B.12 cm 3 C.24 cm 3 D.36 cm 3 2004

13. What is the length of BC? (8.10b) 12345 2004 A.2 cm B.5 cm C.√12 cm D.√20 cm

14. In the diagram below, lines l and p intersect. If the measure of ∠ a is 109°, what is the measure of ∠ b? (8.6) 12345 A.109° B.100° C.71° D.19° 2004

15. Which statement about the volumes of the two pyramids shown is true? (8.7) 1234567891011121314151617181920 21222324252627282930 A.The volume of Pyramid II is 10 times the volume of Pyramid I. B.The volumes of Pyramid II and Pyramid I are the same. C.Pyramid II has 10 more cubic feet of volume than Pyramid I. D.Pyramid II has 30 more cubic feet of volume than Pyramid I. 2007

16. Which is closest to the surface area of a cone with dimensions as shown? (8.7) 1234567891011121314151617181920 21222324252627282930 A.66 mm 2 B.75 mm 2 C.113 mm 2 D.207 mm 2 2007

17. Lines l and m intersect, forming the angles indicated in the drawing. Which of the following statements must be true? (8.6) 1234567891011121314151617181920 21222324252627282930 A. ∠ 1 is congruent to ∠ 2. B. ∠ 1 is supplementary to ∠ 3. C. ∠ 2 is congruent to ∠ 4. D. ∠ 2 is supplementary to ∠ 4. 2007

18. A figure has the views shown. Which represents the figure? (8.9) 1234567891011121314151617181920 21222324252627282930 A.B.C. D. 2007

19. Two lines and a ray intersect at a single point as shown below. In the drawing above, what is m ∠ 1 if m ∠ 2 = 40°? (8.6) 1234567891011121314151617181920 21222324252627282930 A.40° B.45° C.50° D.55° 2007