Parallelograms and Proving Parallelograms

Which theorem shows that the quadrilateral is a parallelogram?

• Parallelogram Diagonals Converse

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Opposite Sides Parallel and Congruent Theorem

Which theorem shows that the quadrilateral is a parallelogram?

• Parallelogram Diagonals Converse

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Opposite Sides Parallel and Congruent Theorem

Which theorem shows that the quadrilateral is a parallelogram?

• Parallelogram Diagonals Converse

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Opposite Sides Parallel and Congruent Theorem

Find the values of x and y that make the quadrilateral a parallelogram.

• x = 3, y = 2

• x = 25, y = 15

• x = 15, y = 25

• x = 113, y = 67

Find the values of x and y that make the quadrilateral a parallelogram.

• x = 4, y = 3

• x = 3, y = -2

• x = 1, y = 4

• x = 3, y = 4

Find the value of x that makes the quadrilateral a parallelogram.

• x = -4

• x = 1

• x = 8

• x = 34

Find the value of x that makes the quadrilateral a parallelogram.

• x = 26

• x = 7

• x = 2

• x = -2

Parallelograms are ...

• triangles

• quadrilaterals

• pentagons

• hexagons

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