Math Geometry Review

Volume and Surface Area

• A

• B

• C

• D

In the diagram, parallel lines P and Q are cut by transveral R. What is the value of x?

Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M?

• 5.0 cm

• 10.2 cm

• 15.3 cm

• 21.0 cm

In the figure, JLK is a right triangle, point P is the midpoint of side JK, and segment PQ is parallel to segment JL. The length of segment PK is 4 units and the length of segment PQ is 2 units. What is the approximate perimeter of shaded triangle PQL?

• 10.0 units

• 9.5 units

• 9.0 units

• 8.5 units

△XYZ with vertices X(1, 1), Y(3, 5), and Z(5, 1) will be rotated 180° about the

origin. What will be the coordinates of Y′?

• (–5, 3)

• (–3, –5)

• (5, –3)

• (5, 3)

The points P(3, –2), Q(10, –2), and R(3, –8) are the vertices of a triangle. What is
the approximate length of side RQ?

• 7 units

• 9 units

• 11 units

• 13 units

A square is drawn. What is the value of x?

Alexis has a cylindrical trash can with a diameter of 24 cm and a height of 42 cm.

What is the approximate volume of the can?

A cylindrical barrel has a height of 8 feet and a diameter of 6 feet. What is

the approximate volume of the barrel?

• 151 cubic feet

• 226 cubic feet

• 603 cubic feet

• 905 cubic feet

• L′(–6, –8), M′(6, 8), N′(6, 1)

• L′(–3, 2), M′(3, 2), N′(3, 0.5)

• L′(–1.5, 2), M′(1.5, 2), N′(1.5, 0.5)

• L′(–1, 2), M′(1, 2), N′(1, 1)