Practice 3.2 Proving a Quadrilateral is a Parallelogram

Front

What is a parallelogram?

Back

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

Front

What is the property of diagonals in a parallelogram?

Back

In a parallelogram, the diagonals bisect each other.

Front

What can be concluded if a quadrilateral has two pairs of opposite sides that are congruent?

Back

The quadrilateral is a parallelogram.

Front

What can be concluded if a quadrilateral has two pairs of opposite angles that are congruent?

Back

The quadrilateral is a parallelogram.

Front

What is the relationship between opposite sides in a parallelogram?

Back

Opposite sides of a parallelogram are equal in length.

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles of a parallelogram are equal.

Front

If the diagonals of a quadrilateral bisect each other, what can be concluded?

Back

The quadrilateral 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°.

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.