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 are the properties of a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What characterizes a rhombus?

Back

A rhombus is a parallelogram with all four sides congruent (equal in length).

Front

What is a square?

Back

A square is a quadrilateral that is both a rectangle and a rhombus, having all sides equal and all angles right.

Front

How can you prove a quadrilateral is a parallelogram?

Back

A quadrilateral can be proven a parallelogram if one pair of opposite sides is both parallel and equal in length.

Front

What is the relationship between rectangles and squares?

Back

All squares are rectangles, but not all rectangles are squares.

Front

What is the significance of having one right angle in a parallelogram?

Back

If a parallelogram has one right angle, then all angles are right angles, making it a rectangle.

Front

What is the significance of having one right angle in a rhombus?

Back

If a rhombus has one right angle, then all angles are right angles, making it a square.

Front

What is the sum of the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is 360 degrees.