Solving Problems Using Parallelogram Properties

Is this quadrilateral a parallelogram?

• Yes. Diagonals bisect each other

• no

• Yes. Opposite angles are congruent

• Yes. Opposite sides are congruent

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

In parallelogram CARS, m<C = 5x - 20 and m<A = 3x + 40. Find the value of x. 

• 15

• 20

• 30

• 130

HIJK is a parallelogram
solve for Y

• 20

• 15

• 60

• 12

Based on the markings, 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

Solve for x. Each figure is a parallelogram.

• A

• B

• C

• D

The figure is a parallelogram.  
Solve for x.  

• 1
• 10
• 4
• 5

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

• Yes, Opposite sides parallel

• Yes, Opposite angles equal and consecutive angles are supplementary.

• Yes, Opposite sides equal and parallel

• Not enough info

Which of the following are properties of parallelograms (check all that apply)

• Two pairs of sides are parallel

• Opposite sides are congruent

• Diagonals are congruent

• Diagonals bisect each other

• Opposite angles are supplementary

Find m∠U.

• 95°

• 85°

• 75°

• 90°