Classifying Quadrilaterals and their Properties

Geometry 9H

Square

Has all properties of a parallelogram, rectangle, & rhombus!!!
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-side angles add to 180
Diagonals bisect each other and are congruent
All 4 right angles
Congruent diagonals
Perpendicular diagonals
Diagonals bisect opposite angles

Trapezoid

Only one pair of parallel sides
Same-side angles between parallel lines = 180I

Isosceles Trapezoid

Congruent legs
Congruent diagonals
Congruent base angles
Opposite angles = 180

Kite

Two pairs of consecutive sides are congruent
Diagonals are perpendicular
ONLY one pair of congruent angles
Diagonals bisect opposite angles

Rectangle

Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-side angles add to 180
Diagonals bisect each other and are congruent
*Same as parallelogram
Also:
All 4 right angles
Congruent diagonals

Parallelogram

Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-side angles add to 180
Diagonals bisect each other

Rhombus

Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-side angles add to 180
Diagonals bisect each other and are congruent
*Same as parallelogram
Also:
4 congruent sides
Perpendicular diagonals
Diagonals bisect opposite angles