Geometry Quadrilaterals test review with 7 shapes and properties for 2/27

for study :)

Parallelogram definition

A quadrilateral with both pairs of opposite sides parallel

Parallelogram properties

Opposite sides congruent, Opposite angles congruent, consecutive angles supplementary, Diagonals bisect each other.

Parallelogram diagonal properties

Diagonals bisect each other

Parallelogram side properties

Opposite sides congruent

Parallelogram angle properties

Opposite angles congruent, consecutive angles supplementary

Equiangular

All angles equal

Rectangle definition

Equiangular Parallelogram

Rectangle properties

All angles congruent at 90*, Diagonals are congruent, Opposite sides congruent

Rectangle diagonal properties

Diagonals are congruent

Rectangle side properties

Opposite sides congruent

Rectangle angle properties

All angles congruent at 90*

Equilateral

All sides congruent

Rhombus definition

Equilateral Parallelogram

Rhombus properties

All sides congruent, opposite angles congruent, consecutive angles supplementary, Diagonals are perpendicular and angle bisectors

Rhombus diagonal properties

Diagonals are perpendicular and angle bisectors

Rhombus side properties

All sides congruent

Rhombus angle properties

opposite angles congruent, consecutive angles supplementary

Regular

All angles and sides are congruent

Square definition

Regular parallelogram

Square properties

all sides congruent, all angles congruent, Diagonals are perpendicular, angle bisectors, and congruent

Square diagonal properties

Diagonals are perpendicular, angle bisectors, and congruent

Square side properties

all sides congruent

Square angle properties

all angles congruent

Trapezoid definition

A quadrilateral with exactly one pair of opposite sides parallel

Trapezoid bases are

Parallel sides

Trapezoid legs are

Non-parallel sides

Trapezoid Midsegment is

A segment that is parallel to each base and its endpoints are the midpoints of the legs. The length is the average of the bases.

Isotrap definition

A trapezoid with congruent legs

Isotrap base angles are

Angles that border each base. Each pair of base angles are congruent

Isotrap diagonal properties

The diagonals of an isotrap are congruent

Kite definition

A quadrilateral with 2 different pairs of consecutive sides congruent

Kite diagonal properties

The longer diagonal will bisect the angles. The diagonals are perpendicular

All angles of a parallelogram add up to

360 degrees