Parallelograms & Rectangles

Which characteristic would prove that a quadrilateral is a parallelogram?

• Consecutive angles are equal.
• Opposite angles are supplementary.
• Opposite angles are equal.

In parallelogram ABCD, what is the measure of ∠DCB?

• 84
• 59
• 96
• 37

Given rectangle ABCD, where the diagonals intersect at point E, AC = 4x + 10 and BD = 5x - 20, find AE.

• 30
• 21
• 65
• 130

• -21

• 26

• 28

• 21

Solve for x in the rectangle.

• x=2
• x=7
• x=8
• x=3

  ABCD is a rectangle.  AB = 14, BC = 9, AC = 22.  Find BD.

• 11
• 14
• 9
• 22

The figure is a parallelogram.  
Solve for x.  

• 7
• 2
• 0
• 4

The opposite angles of a parallelogram are ...

• complementary
• congruent
• supplementary
• perpendicular

Solve for x

• x = 5

• x = 7

• x = 14

• x = 3

Solve for y

• y = 5

• y = 7

• y = 14

• y = 9