Properties of Parallelograms

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

State which method we can use to show that the quadrilateral is a parallelogram. 

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel. 

State which method we can use to show that the quadrilateral is a parallelogram.

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• The diagonals bisect each other.

• Both pairs of opposite sides are parallel.

Is the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; one pair of opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

Determine if the quadrilateral is a parallelogram and justify.

• Is a parallelogram because, opposite sides parallel

• Is a parallelogram because, opposite sides congruent

• Is a parallelogram because, opposite angles congruent

• Is a parallelogram because, one set of sides is parallel and congruent

• Not a parallelogram.

Determine if the quadrilateral is a parallelogram and justify.

• Is a parallelogram because, opposite sides parallel

• Is a parallelogram because, opposite sides congruent

• Is a parallelogram because, opposite angles congruent

• Is a parallelogram because, one set of sides is parallel and congruent

• Not a parallelogram.

Which theorem shows that the quadrilateral is a parallelogram?

• Not Parallelogram

• Opposite Sides are congruent

• Opposite Angles are congruent

• 1 set of Opposite Sides is Parallel and Congruent