8.3 Flashcard Prove 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 are the properties of a parallelogram?

Back

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

Front

How can you prove a quadrilateral is a parallelogram using opposite 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 opposite 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 the quadrilateral is a parallelogram.

Front

What does it mean for angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

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

Back

The quadrilateral is a parallelogram.

Front

What is the significance of tick marks in a diagram?

Back

Tick marks indicate that the sides or angles they mark are congruent.

Front

If x = 25, what does this value represent in a quadrilateral?

Back

It represents a specific measure that, when applied, classifies the quadrilateral as a parallelogram.

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.