Chapter 11.2, Problem 52SPR

To determine

To find: whether given statement is always, sometime, or never true using the Venn diagram.

Answer to Problem 52SPR

Sometimes true.

Explanation of Solution

Given information: GivenStatement is: A rhombus is a square. And the given Venn

diagram is :

  

Calculation:

In a Venn Diagram use the following logic:

An item on the inside is always part of the family on the outside

An item on the outside is sometimes part of the family on the outside

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

A rhombus outside of the purple square sector , therefore the given statement is sometimes true .