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Learning Objectives

  • Identify and classify a rectangle.
  • Identify and classify a square.
  • Identify the relationship between the diagonals in a rectangle.

Rectangles and Squares

Now that you have a much better understanding of parallelograms, you can begin to look more carefully into certain types of parallelograms. This lesson explores two very important types of parallelograms—rectangles and squares.

Rectangles

A rectangle is equiangular:

  • Each angle in a rectangle has the same measure.
  • Each angle in a rectangle measures 90^\circ
  • In other words, a rectangle has four right angles.
  • A square is a special kind of rectangle and shares all of the properties of rectangles.

Rectangles have four ___________________________ angles.

A square is a rectangle with ________________________________ sides.

Diagonals in a Rectangle

Remember that all of the rules that apply to parallelograms still apply to rectangles and squares.

There is one additional property that is specific to rectangles:

The diagonals of a rectangle are congruent.

Do you remember the properties of parallelograms?

These apply to all parallelograms, including rectangles and squares:

  • opposite sides are parallel
  • opposite sides are congruent
  • opposite angles are congruent
  • consecutive angles are supplementary
  • diagonals bisect each other

The diagonals in a rectangle and a square are _______________________________.

In a parallelogram, opposite sides are ____________________ and ___________________.

Theorem for Rectangle Diagonals

The diagonals of a rectangle are congruent.

Reading Check:

1. True or False: All the angles in a rectangle are congruent.

2. True or False: The diagonals in a rectangle bisect each other.

3. True or False: The diagonals in a rectangle are congruent, but the diagonals in a square are not congruent.

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8 , 9 , 10

Date Created:

Feb 23, 2012

Last Modified:

May 12, 2014
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