6.2 Parallelogram Practice

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. Consecutive angles are supplementary. 4. Diagonals bisect each other.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Opposite sides are parallel. 2. Opposite sides are congruent. 3. Opposite angles are congruent. 4. One set of opposite sides is both parallel and congruent.

Front

What does it mean for opposite sides to be congruent?

Back

Opposite sides being congruent means that the lengths of the two pairs of opposite sides are equal.

Front

What does it mean for opposite angles to be congruent?

Back

Opposite angles being congruent means that the measures of the two pairs of opposite angles are equal.

Front

What is the significance of consecutive angles in a parallelogram?

Back

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

Front

What is the relationship between the diagonals of a parallelogram?

Back

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

Front

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

Back

The opposite angle also measures 70 degrees, and the consecutive angles each measure 110 degrees.

Front

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

Back

The Opposite Angles Theorem states that if both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram.

Front

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

Back

If two sides are parallel and equal in length, the quadrilateral is a parallelogram.