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.

Front

In a parallelogram, what can be said about the diagonals?

Back

The diagonals of a parallelogram bisect each other.

Front

What is the condition for a quadrilateral to be classified as a parallelogram?

Back

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

Front

Which theorem states that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram?

Back

The Diagonal Bisector Theorem.

Front

Are the diagonals of a parallelogram always congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent.

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are congruent.

Front

If two sides of a quadrilateral are both parallel and equal in length, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

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

Back

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

Front

If one angle of a parallelogram is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are 110 degrees each.