# Lesson 7 Rectangles and Squares

Let’s learn more about rectangles and squares.

## Warm-up What Do You Know About …?

What do you know about this shape?

## Activity 1 Quadrilateral Clues

Spread out your shape cards so you and your partner can see all of them.

Work together to find a shape that fits each clue. If you don’t think it is possible to find that shape, explain why. You can only use each shape one time.

Find a quadrilateral that is not a parallelogram.

Find a rhombus that is also a square.

Find a rhombus that is not a square.

Find a trapezoid that is not a rectangle.

Find a rectangle that is not a square.

Find a parallelogram that is not a rectangle.

Find a square that is not a rectangle.

## Activity 2 Always, Sometimes, Never

Write always, sometimes, or never in each blank to make the statements true.

For each statement that is completed with “sometimes,” draw a figure for which the statement is true and another figure for which the statement is not true.

A rhombus is a square.

A square is a rhombus.

A triangle is a quadrilateral.

A square is a rectangle.

A rectangle is a parallelogram.

A parallelogram is a rhombus.

A trapezoid is a parallelogram.

## Practice Problem

## Problem 1

Decide if each statement is true or false. Explain or show your reasoning.

A parallelogram is sometimes a rhombus.

A rhombus is always a parallelogram.

A trapezoid is never a rectangle.

A rectangle is never a square.

A parallelogram is always a trapezoid.