Properties of Quadrilaterals

1. Properties
Of
Quadrilaterals
Created by Michelle Barnhill 7/11/12

2. Perimeter:
Add all sides
The Rectangle
Area:
A = (length)( width )
Sides:
Opposite Sides are Parallel
Opposite Sides are Congruent
Angles:
All Angles are 90o
All Angles are Congruent
Adjacent Angles are Supplementary
Diagonals:
Diagonals Bisect each other
Diagonals are NOT Perpendicular
To find the Length of the Diagonals: d = L2 + W 2

3. Perimeter:
Add all sides The Parallelogram
Area:
A = (base)(height )
Sides:
Opposite Sides are Parallel
Opposite Sides are Congruent
Angles:
Opposite Angles are Congruent
Adjacent Angles are Supplementary
Diagonals:
Diagonals Bisect each other
Diagonals are NOT Perpendicular

4. Perimeter:
Add all sides
The Trapezoid
Area:
1
A= ( height )( length of longer base + length of shorter base )
2
Sides:
Bases are Parallel
Sides:
There is a special Bases are Parallel
trapezoid, called the Opposite Sides are Congruent
Isosceles trapezoid. Angles:
Big Bases Angles are Congruent
The properties above Little Bases Angles are Congruent
still apply, but we can A Pair of Angles, one form each Base,
also add these are Supplementary
properties: Diagonals:
Diagonals are Congruent

5. Perimeter:
Add all sides
Area: The Rhombus
1
A= (first diagonal)(second diagonal)
2
Sides:
Opposite Sides are Parallel
All Sides are Congruent
Angles:
Opposite Angles are Congruent
Adjacent Angles are Supplementary
Diagonals:
Diagonals Bisect each other
Diagonals are Perpendicular

6. Perimeter:
Add all sides
Area: The Square
A = (length)( width) = s 2
Sides:
Opposite Sides are Parallel
All Sides are Congruent
Angles:
All Angles are 90o
All Angles are Congruent
Adjacent Angles are Supplementary
Diagonals:
Diagonals Bisect each other
Diagonals are Perpendicular
To find the Length of the Diagonals: d =s 2
The Square is a busy shape! It’s not only a square, it’s a rectangle, a parallelogram, a trapezoid, and a rhombus!

7. Perimeter:
Add all sides
Area: The Kite
1
A= (first diagonal)(second diagonal)
2
Sides:
Two Shorter Sides are Congruent
Two Longer Sides are Congruent
Angles:
Opposite Angles, only the angles that Join the
Shorter and Longer Sides, are Congruent
Diagonals:
The Longer Diagonal Bisects the Shorter Diagonal
Diagonals are Perpendicular