Quadrilateral Proofs

Front

What is a quadrilateral?

Back

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

Front

What are the properties of a parallelogram?

Back

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

Front

What defines a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What is a rhombus?

Back

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

Front

What is a square?

Back

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

Front

True or False: All rectangles are squares.

Back

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

Front

True or False: All rhombuses are parallelograms.

Back

True. All rhombuses are a type of parallelogram.

Front

What is the relationship between the diagonals of a rectangle?

Back

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

Front

What is the relationship between the diagonals of a rhombus?

Back

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

Front

How can you prove a quadrilateral is a rectangle?

Back

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