Geometric and Spatial Reasoning Review

Which set of measurements could be the lengths of three segments that form a triangle?

• 2 cm, 2 cm, 5 cm

• 6 cm, 2 cm, 8 cm

• 5 cm, 9 cm, 3 cm

• 7 cm, 2 cm, 6 cm

The bases of the right triangular prism shown below are equilateral triangles. If Heather slices the right triangular prism into two congruent pieces, which of the following two-dimensional figures could result from the slice? Select all that apply.

• Circle

• Triangle

• Rectangle

• Hexagon

• Octagon

The diagram represents a scale drawing of a three-sided tract of land. How could the actual length, in miles, of each

side of the tract of land be calculated?

• By subtracting 9 from the length in inches of each side in the scale drawing

• By adding 9 to the length in inches of each side in the scale drawing

• By dividing the length in inches of each side in the scale drawing by 9

• By multiplying the length in inches of each side in the scale drawing by 9

A solid figure is shown below.

What is the volume of the solid figure?

• 660 cubic centimeters

• 810 cubic centimeters

• 1020 cubic centimeters

• 1560 cubic centimeters

A circular helipad has a diameter of 50 yards. Using 3.14 for π , which two of the following statements are true?

• The circumference of the helipad is 157 yards.

• The circumference of the helipad is 314 yards.

• The area of the helipad is 492.98 square yards.

• The area of the helipad is 1962.5 square yards.

• The area of the helipad is 7850 square yards.

A drawing of an airplane has a scale of 1 centimeter equal to 19 feet. If the elevator span on the scale drawing is 2.5 centimeters long, what is the actual length of the elevator in feet?

• 3.8

• 4.75

• 47.5

• 475

Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1-foot increments, which set of wood lengths will form a triangle?

• 2 feet, 2 feet, 5 feet

• 1 foot, 2 feet, 3 feet

• 2 feet, 3 feet, 4 feet

• 2 feet, 4 feet, 6 feet

The scale on a map is 0.5 centimeter = 3 kilometers. On the map, Town B is 12.5 centimeters away from Town A. What is the actual distance between the towns?

• 4.16 kilometers

• 18.75 kilometers

• 37.50 kilometers

• 75.00 kilometers

A circle has a diameter of 8 ft. Which measurement would be the circumference of the same circle? (use π ≈ 3.14)

• 12.56 ft

• 18.22 ft

• 25.12 ft

• 50.24 ft

The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth’s Moon is 1,737.5 kilometers. What is the approximate difference in the mean circumferences, in kilometers, of Earth and Earth’s Moon? Round your answer to the nearest tenth of a kilometer. Use 3.14 for π.

• 40,009.9

• 29,098.4

• 14,556.6

• 10,911.5