Characteristics of Special 7 Quadrilaterals

Parallelogram

• Opposite sides are parallel

• Opposite sides are congruent

• Opposite angles are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

Rectangle

• Opposite sides are parallel

• Opposite sides are congruent

• Opposite angles are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

• All angles are right

• Diagonals are congruent

Rhombus

• Opposite sides are parallel

• Opposite sides are congruent

• Opposite angles are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

• All sides are congruent

• Diagonals are perpendicular bisectors of each other

• Diagonals bisect the angles

• 2 disjoint pairs of consecutive sides are congruent (by defintion)

• One diagonal is the perpendicular bisector of the other

• One other pair of opposite angles are congruent

• One diagonal bisects a pair of its opposite angles

Square

• Opposite sides are parallel

• Opposite sides are congruent

• Opposite angles are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

• All angles are right

• Diagonals are congruent

• All sides are congruent

• Diagonals are perpendicular bisectors of each other

• Diagonals bisect the angles

• 2 disjoint pairs of consecutive sides are congruent (by defintion)

• One diagonal is the perpendicular bisector of the other

• One other pair of opposite angles are congruent

• One diagonal bisects a pair of its opposite angles

Kite

• 2 disjoint pairs of consecutive sides are congruent (by defintion)

• One diagonal is the perpendicular bisector of the other

• One other pair of opposite angles are congruent

• One diagonal bisects a pair of its opposite angles

Isosceles Trapezoid

• The bases are congruent

• The legs are congruent

• The lower base angles are congruent

• The upper base angles are congruent

• A lower base angle is supplementary to an upper base angle

• The diagonals are congruent

Trapezoid

• The bases are congruent