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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 56 Page 528

Recall the definitions of a square and a rectangle.

Sometimes

Practice makes perfect

We want to state whether a rectangle is always, sometimes, or never a square. To do this, we will compare the definitions of a rectangle and a square.

Type of Quadrilateral	Definition
Square	A square is a quadrilateral with four congruent sides and four right angles.
Rectangle	A rectangle is a quadrilateral with two pairs of parallel and congruent sides and four right angles.

As we can see, a rectangle is not always a square. Let's take a look at an example of a rectangle that is not a square.

Note that not all sides in this rectangle are congruent. Therefore, the shape is not a square. However, some rectangles can have two congruent pairs of parallel sides. In this case, we call them squares. Let's take a look at an example of a rectangle that is also a square.

This quadrilateral is both a rectangle and a square. Therefore, a rectangle is sometimes a square.

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Exercises p.526-530