Lesson 11: Practice Problems

Problem 1

A cube is cut into two pieces by a single slice that passes through points , , and . What shape is the cross section?

A cube is indicated. Point A is located on the back, top right vertex, Point B is located on the front, top left vertex, and Point C is located on the front, bottom left vertex

Problem 2

Describe how to slice the three-dimensional figure to result in each cross section.

Three-dimensional figure:

Cross sections:

A triangular pyramid.
A cross section shaped like a triangle and one shaped like a trapezoid.

Problem 3

Here are two three-dimensional figures.

Describe a way to slice one of the figures so that the cross section is a rectangle.

A drawing of a triangular prism and a pyramid.

Problem 4

Each row contains the degree measures of two supplementary angles. Complete the table.

measure of
an angle

measure of
its supplement