Chapter 11.2, Problem 50SPR

To determine

To explain:

Whether the statement is always, sometimes or never true.

Answer to Problem 50SPR

The statements is always true.

Explanation of Solution

Given information:

  

A rectangle is a parallelogram.

From the given Venn diagram:

The item on the inside is always part of the family on the outside.

The item on the outside is sometimes part of the family on the outside.

Also, that are not inside or outside of each other are never part of the same family.

The rectangle in the blue circle is inside of the parallelogram in the yellow circle.

Hence, the statements is always true.