Math Quiz - Quadrilaterals

Quadrilateral

A four-sided polygon.

Trapezoid

A quadrilateral with one pair of opposite sides parallel.

Isosceles Trapezoid

A trapezoid with non-parallel sides congruent.

Right Trapezoid

A trapezoid that contains at least one right angle.

Parallelogram

A quadrilateral with both pairs of opposite sides parallel.

Rectangle

A parallelogram with four right angles.

Rhombus

A parallelogram with four congruent sides.

Square

A parallelogram with four congruent sides and four right angles.

Properties of Trapezoid

Angles A and B are supplementary; angles C and D are supplementary.

Properties of Isosceles Trapezoid

Base angles are congruent; diagonals are congruent.

Properties of Right Trapezoid

Contains at least one 90° angle.

Properties of Parallelogram

Opposite sides and angles are congruent; consecutive angles are supplementary; diagonals bisect each other.

Properties of Rectangle

All parallelogram properties with congruent diagonals.

Properties of Rhombus

All parallelogram properties with perpendicular diagonals and diagonals that bisect angles.

Properties of Square

All rectangle and rhombus properties with diagonals that are congruent, perpendicular, and bisect angles.

Relationship between Shapes

All parallelograms are trapezoids; all rectangles and rhombuses are parallelograms; all squares are both rectangles and rhombuses.