6.3 Prove a Quadrilateral is a Parallelogram

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both parallel and congruent.

Front

What are the properties of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent and parallel.

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

How can you prove a quadrilateral is a parallelogram using sides?

Back

If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram.

Front

How can you prove a quadrilateral is a parallelogram using angles?

Back

If both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram.

Front

How can you prove a quadrilateral is a parallelogram using diagonals?

Back

If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

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.

Front

If one pair of opposite sides of a quadrilateral is both parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.