Proving a Quadrilateral Is a Parallelogram

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

The opposite sides and opposite angles of a parallelogram are...

• congruent

• supplementary

• perpendicular

• not congruent

If Quadrilateral ABCD is a Parallelogram the measure of ∠C is 

• 68°
• 112°
• 22°
• 158°

Determine the value of x and y that would classify this quadrilateral as a parallelogram. 

• x = 9 ; y = 16
• x = 16; y = 9

The figure is a parallelogram.  
Solve for x.  

• 1
• 8
• 2
• 6

How long is the side CD?

• 7
• 3
• 35
• 27

In order for ABCD to be a parallelogram, what must the value of x be?

• 132
• 66
• 114
• 48

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

• yes, opposite sides are congruent

• yes, opposite sides are parallel

• no, not all pairs of opposite sides are congruent

• no, not all pairs of opposite sides are parallel