Quadrilateral Proofs

Front

What is a quadrilateral?

Back

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

Front

What defines a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What is 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

What does it mean for diagonals to bisect each other?

Back

Diagonals bisecting each other means that they cut each other in half at their intersection point.

Front

What is the relationship between a rectangle and its diagonals?

Back

In a rectangle, the diagonals are congruent (equal in length).

Front

What is the relationship between a rhombus and its diagonals?

Back

In a rhombus, the diagonals are perpendicular to each other and bisect the angles of the rhombus.

Front

What is the significance of a parallelogram having congruent diagonals?

Back

If a parallelogram has congruent diagonals, it is a rectangle.

Front

What is the significance of a parallelogram having perpendicular diagonals?

Back

If a parallelogram has perpendicular diagonals, it is a rhombus.