Test Properties of Quadrilaterals

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

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes, all opposite sides are congruent

• yes, opposite angles are congruent

• yes, opposite sides are parallel

• yes, consecutive interior angles are supplementary

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.

Using information in the picture and what you know about angles in parallelograms, solve the equation for x.

• 1

• 10

• 9

• 6

• 10
• 5
• 8
• 3

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.

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