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.

  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.

Practice Problem

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.