Measurement and Geometry Released SOLs

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

If ∠ QRS and ∠ XYZ are complementary, which must be true? (SOL 8.6) 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.

What is the volume of the square-based pyramid shown below? (SOL 8.7) cm cm cm cm 3

Which is closest to the volume of the cone shown below? (SOL 8.7) cm cm cm cm 3

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

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

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

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

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) A.28 cubic units B.24 cubic units C.20 cubic units D.16 cubic units 2004

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

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

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

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

Which statement about the volumes of the two pyramids shown is true? (8.7) 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

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

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

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

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) A.40° B.45° C.50° D.55° 2007

Which is closest to the volume of a cylinder with measurements as shown? A.63 cubic units B.88 cubic units C.226 cubic units D.251 cubic units

Which is closest to the measure of ∠ WXY ? A.45° B.55° C.135° D.145°

Which names one of the legs of the triangle pictured? A. ∠ LJQ B. LJ C. ∠ QLJ D. QL

What is the surface area of a cube with the measurements shown? A.81 m 2 B.54 m 2 C.27 m 2 D.9 m 2

Les rotated the figure 90° clockwise about the origin. Which is most likely the new image Les made? A. B. C. D.

This shows 3 different views of a three- dimensional figure constructed from cubes. Which could be this figure? A.B. C. D.

Which is a dilation of the figure in the following coordinate grid? A.B. C. D.

Lines l and m intersect so that the measure of ∠ 1 is 50°. What is the measure of ∠ 2 ? A.40° B.50° C.100° D.130°

A water slide is one side of a right triangle as shown. What is x, the length of the water slide? A.14 ft B.21 ft C.26 ft D.34 ft

The figure shows a triangle on a coordinate plane. Which of the following shows the triangle translated 3 units to the right and 1 unit down? A.B.C.D.

Which three-dimensional figure in the position shown most likely has the top view shown here? A. B. C.D.

What is the measure of AX ? A.3 in. B.9 in. C.19 in. D.27 in.