Math shapes

Parallelogram definition

4 sided shape with two sets of opposite sides that are parallel and equal in length

Parallelogram properties

• two pairs of opposite sides parallel

• two pairs of opposite sides congruent

• both pairs of opposite angles congruent

• diagonals bisect each other

• one pair of opposite sides parallel and perpendicular

Rhombus definition

parallelogram with all four sides congruent

Rhombus properties

• all parallelogram properties

• diagonals are perpendicular bisectors

Rectangle definition

Parallelogram with 4 right angles

Rectangle properties

• all parallelogram properties

• diagonals are congruent

Square definition

parallelogram that has 4 right angles and 4 equal sides

Square properties

• All rectangle properties

• all rhombus properties

• diagonals are angle bisectors, perpendicular bisectors, and congruent

Kite definition

quadrilateral with exactly 2 pairs of consecutive sides that are congruent

Kite properties

• non vertex angles are congruent

• diagonal connecting vertex angles is the perpendicular bisector of other diagonal

• diagonals connecting vertex angles are angle bisectors

Trapezoid definition

A quadrilateral with exactly 1 pair of opposite sides parallel

Trapezoid properties

The consecutive angles between the bases of a trapezoid are supplementary

Isosceles trapezoid

trapezoid with congruent legs

isosceles trapezoid properties

• base angles are congruent

• diagonals are congruent

trapezoid mid segment

parallel to the bases, has a length that is the average of the bases lengths