Quadrilateral Proofs

A quadrilateral is a polygon with four sides, four vertices, and four angles.

A parallelogram has opposite sides that are equal and parallel, opposite angles that are equal, and its diagonals bisect each other.

A rectangle is a parallelogram with four right angles.

A rhombus is a parallelogram with all four sides of equal length.

A square is a rectangle with all four sides of equal length.

False. Not all rectangles are squares, but all squares are rectangles.

True. All rhombuses are a type of parallelogram.

The diagonals of a rectangle are congruent (equal in length).

The diagonals of a rhombus bisect each other at right angles.

A quadrilateral is a rectangle if it has four right angles or if its diagonals are congruent.