NUMS Mathematics

6.8.5 Properties of Quadrilaterals

Properties of Quadrilaterals

Definitions

- Quadrilateral --> A closed figure with four sides and four angles
  - The sum of all the angles in any quadrilateral will total 360 degrees, double that of a triangle
- Parallelogram
  - Opposite sides are congruent
  - Opposite sides are parallel
  - Opposite angles are congruent
- Rhombus
  - Opposite sides are congruent
  - Opposite sides are parallel
  - Opposite angles are congruent
  - All sides are congruent (the same length)

- Rectangle
  - Opposite sides are congruent
  - Opposite sides are parallel
  - Opposite angles are congruent
  - All angles are right angles
- Square
  - Opposite sides are congruent
  - Opposite sides are parallel
  - Opposite angles are congruent
  - All angles are right angles
  - All sides are congruent (the same length)
- Trapezoid
  - Exactly one pair of opposite sides is parallel

You will notice that on each of the shapes, there are lines on the sides of the quadrilaterals and in the corners (angles) as well. These lines show which angles and sides are congruent to each other.

- For example, in the parallelogram, the left and right side are congruent to each other while the top and bottom are congruent as well. This is denoted by the number of lines that are given on each side.
- The opposite angles are congruent in the parallelogram as well. The bottom-left angle and the top-right angle have the same measure, and therefore are congruent. The same can be said for the top-left and bottom-right angles.

Homework:

Google Sites

Report abuse