8.3 Flashcard Prove Quadrilateral is a Parallelogram

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other.

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

If x + 5 = 20, what is the value of x for the quadrilateral to be a parallelogram?

Back

x = 15.

Front

If the lengths of two opposite sides are 10 cm and 10 cm, what can be concluded about the quadrilateral?

Back

The quadrilateral could be a parallelogram since one condition for parallelograms is that opposite sides are equal.

Front

If one angle of a quadrilateral is 70 degrees and the opposite angle is also 70 degrees, what can be inferred?

Back

The quadrilateral may be a parallelogram since opposite angles are equal.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If a quadrilateral has two pairs of parallel sides, what can be said about it?

Back

It is a parallelogram.