Geometry Unit 4

• parallel

• perpendicular

• neither

In △ABC, the coordinates of vertices A and B are A(1,2) and B(−3,−1). Select ALL the coordinate(s) of C that would make △ABC a right triangle.

• C(-3, -2)

• C(0, -5)

• C(1, -2)

The coordinates of the vertices of quadrilateral ABCD are A(−5, 1),  B(−2, 5), C(5, 3), and D(2, −1).

ABCD is a...

• parallelogram

• trapezoid

• neither

Ke Shawn is placing a right triangle in the coordinate plane. He knows that the longer leg is twice the length of the shorter leg. He places the longer leg on the x-axis.

What coordinates should he assign to the third vertex of the triangle?

• (0, 0)

• (a, 0)

• (0, 2a)

• (2a, 0)

The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall.

What is the approximate lateral area of the prism? Round to the nearest whole number.

• 139 square inches

• 416 square inches

• 693 square inches

• 831 square inches

What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

• 450π square feet

• 475π square feet

• 500π square feet

• 525π square feet

An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder?

• 2,400π cubic units

• 2,500π cubic units

• 2,600π cubic units

• 2,700π cubic units

What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth.

• 117.8 cubic units

• 141.3 cubic units

• 235.5 cubic units

• 282.6 cubic units

• 42 cubic units

• 126 cubic units

• 4187 cubic units

• 73,385 cubic units

A solid right pyramid has a square base with an edge length of s units and a height of h units. Which expression represents the volume of the pyramid?

• 1/4 s²h units³

• 1/3 s²h units³

• s²h units³

• 3s²h units³