Applying Properties of Parallelograms and Polygons

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

Which theorem shows that the quadrilateral is a parallelogram?

• Diagonals Bisect eachother

• Opposite Sides Congruent

• Opposite Angles congruent

• 1 set of Opposite Sides is Parallel and Congruent

Which theorem shows that the quadrilateral is a parallelogram?

• Diagonals bisect eachother

• Opposite Sides Congruent

• Opposite Angles Congruent

• 1 set of Opposite Sides is Parallel and Congruent

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. 

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

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.

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

• DB=AC

• DA=BC

• DA||BC

• DA||BC, DA=BC

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.