# Lesson 7 Rectangles and Squares

## Warm-up What Do You Know About …?

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.

1. Find a quadrilateral that is not a parallelogram.

2. Find a rhombus that is also a square.

3. Find a rhombus that is not a square.

4. Find a trapezoid that is not a rectangle.

5. Find a rectangle that is not a square.

6. Find a parallelogram that is not a rectangle.

7. 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.

1. A rhombus is  a square.

2. A square is  a rhombus.

3. A triangle is  a quadrilateral.

4. A square is  a rectangle.

5. A rectangle is  a parallelogram.

6. A parallelogram is  a rhombus.

7. A trapezoid is  a parallelogram.

## Problem 1

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

1. A parallelogram is sometimes a rhombus.

2. A rhombus is always a parallelogram.

3. A trapezoid is never a rectangle.

4. A rectangle is never a square.

5. A parallelogram is always a trapezoid.