Quadrilateral Review

Definition: A Quadrilateral where both pairs of opposite sides are parallel. 

1) Opposite sides are congruent.
2) Opposite angles are congruent.
3) Consecutive angles are supplementary.
4) Diagonals bisect each other.

Definition: A parallelogram with 4 right angles and the opposite sides are congruent.

1) The diagonals of a rectangle bisect each other.

Rectangles also have ALL of the same properties as a parallelogram.

Definition: A parallelogram with 4 congruent sides.

1) Each diagonal bisects a pair of opposite angles.

2) The diagonals of a rhombus are perpendicular.

Rhombi also have ALL of the same properties as a parallelogram.

Definition: A parallelogram with 4 right angles and 4 congruent sides.

Squares have no unique properties BUT...

They have ALL the properties of Parallelograms, Rhombus and Rectangles.

Definition: A Quadrilateral with exactly ONE pair of parallel sides.

1) Angles formed by legs are supplementary.

Definition: A quadrilateral with 2 pairs of congruent sides BUT opposite sides are NOT congruent.

1) Diagonals are perpendicular.

2) One diagonal is bisected by the other but not both.

3) One diagonal bisects its angles but both don't.

Definition: A trapezoid with congruent legs.

1) The diagonals are congruent.

2) Angles formed by legs are supplementary

3) The angles formed by base 1 are congruent to each other.

4) The angles formed by base 2 are congruent to each other.

 $A=\frac{\left(b_1+b_2\right)}{2}\cdot h$  

 $A=b\cdot h$  

 $A=l\cdot w\$ OR  $A=b\cdot h$  

 $A=\frac{\left(d_1\cdot d_2\right)}{2}$  

 $V=\frac{4}{3}\pi r^3$  

 $V=B\cdot h$  OR  $V=\pi r^2\cdot h$  

 $V=B\cdot h$  OR  $V=l\cdot w\cdot h$  

 $V=\frac{\left(B\cdot h\right)}{3}$  OR  $V=\frac{\left(l\cdot w\cdot h\right)}{3}$