Mrs. Kim's Properties of Parallelograms

Front

What is a parallelogram?

Back

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

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are congruent. 2. Opposite angles are congruent. 3. Diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

What does it mean for opposite sides to be congruent?

Back

It means that the lengths of the opposite sides of the parallelogram are equal.

Front

What does it mean for opposite sides to be parallel?

Back

It means that the opposite sides of the parallelogram never meet and are always the same distance apart.

Front

What is the significance of diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

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

Back

The quadrilateral is a parallelogram.

Front

Which property is NOT true for all parallelograms?

Back

Diagonals are congruent; this is only true for rectangles and squares.

Front

What theorem can be used to prove a quadrilateral is a parallelogram?

Back

If one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.

Front

How can you determine if a quadrilateral is a parallelogram using angles?

Back

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