FINAL QUADRILATERAL STUDY GUIDE

Quadrilateral

A four-sided polygon

Parallelogram

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

Rectangle

A parallelogram in which at least one angle is a right angle.

Rhombus

A parallelogram in which at least two consecutive sides are congruent.

Kite

A quadrilateral in which two dis-joint pairs of consecutive sides are congruent.

Square

A parallelogram that is both a rectangle and a rhombus.

Trapezoid

A quadrilateral with exactly one pair of parallel sides.

Isosceles Trapezoid

A trapezoid in which the nonparallel sides (legs) are congruent.

All 4 sides are congruent

Rhombus, Square

Related base angles are congruent

isosceles trapezoid

Diagonals form four congruent triangles

rhombus, square

Only one pair of opposite angles are congruent

kite

Only one diagonal bisects the other

Kite

Any pair of consecutive angles is supplementary

parallelogram, rhombus, square, rectangle

Diagonals are congruent

rectangle, square, isosceles trapezoid

Diagonals form 4 pairs of congruent triangles

rhombus, square, parallelogram, rectangle

Only one diagonal is an angle bisector

kite

Both diagonals are angle bisectors

rhombus, square

Diagonals are perpendicular

kite, rhombus, square

Diagonals bisect each other

parallelogram, rhombus, square, rectangle

Both pairs of opposite angles congruent

parallelogram, rhombus, square, rectangle

Both pairs of opposite sides congruent

parallelogram, rhombus, square, rectangle