Analyzing Rectangular Prisms: Congruent Faces and Prism Types

This video tutorial explains how to analyze rectangular prisms by identifying pairs of congruent faces. It begins with a review of key concepts such as congruence, parallelism, and the definition of a prism. The lesson then explores three types of rectangular prisms: those with three different pairs of congruent faces, those with two sizes of congruent faces, and cubes with one size of face. Each type is examined in detail, including visual aids like nets to illustrate the congruent and parallel faces. The tutorial concludes with a summary of the key points covered.

What does it mean for two figures to be congruent?

• They have the same volume.

• They have the same color.

• They are the same shape and size.

• They are both 3D figures.

Which of the following describes parallel faces on a 3D solid?

• They are perpendicular.

• They intersect at a point.

• They are different sizes.

• They never intersect.

How many pairs of matching congruent faces does the first type of rectangular prism have?

• Four pairs

• Three pairs

• Two pairs

• One pair

What is unique about the second type of rectangular prism discussed?

• It is a sphere.

• It has two sizes of congruent faces.

• It has three sizes of faces.

• It has no congruent faces.

What is a defining feature of a cube?

• All six faces are identical.

• It has no parallel faces.

• It has two sizes of faces.

• It has three pairs of congruent faces.