Prove Parallelograms Are Equal

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

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

Is this quadrilateral a parallelogram? If so, give a reason.

• No

• Yes. Opposite sides are parallel

• Yes. Opposite sides are congruent

• Yes. Opposite angles are congruent

• x = 30, y = 40
• x = 40, y = 30
• x = 40, y = 15
• x = 30, y = 30

• 1=30 ,  2=82,  3=50
• 1=32,  2=98 , 3=50
• 1=30 ,  2=98 , 3=50
• 1=30 , 2=98 , 3=40

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

Based on the provided markings, is there sufficient information to prove the quadrilateral is a parallelogram?

• Yes

• No

In a parallelogram, opposite angles are ________.

• congruent

• supplementary

• consecutive

• parallel

• x = 40 , y = 40 
• x = 30, y = 30
• x = 40, y = 30
• x = 30, y = 40

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides equal

• Opposite sides parallel

• Diagonals bisect each other

• Not enough info