Proving Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel.

Front

What is the definition of opposite sides congruent?

Back

Opposite sides are congruent if they have the same length.

Front

What does it mean for opposite angles to be congruent?

Back

Opposite angles are congruent if they have the same measure.

Front

What is the significance of diagonals being mutual bisectors in a parallelogram?

Back

In a parallelogram, the diagonals bisect each other, meaning they cut each other in half.

Front

What is the condition for one set of sides to be parallel and congruent?

Back

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

Front

How can you determine if a quadrilateral is not a parallelogram?

Back

A quadrilateral is not a parallelogram if none of the conditions for parallelograms are met.

Front

What is the relationship between opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are both parallel and congruent.

Front

What is the relationship between opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent.

Front

What is the relationship between the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If a quadrilateral has one pair of opposite sides that are both parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.