Parallelogram and Rectangles

Keith wants to create a patio in the shape of a parallelogram.  What is the measure of ∠YXW to ensure that his patio is a parallelogram?

• 110∘
• 70∘
• 60∘
• 150∘

In parallelogram ABCD, AB = 7 cm and the perimeter of ABCD = 30 cm. What is the length of AD?  (Hint:  To find the perimeter, you add all sides.  Draw a picture.)

• 23 cm
• 8 cm
• 14 cm
• 7 cm

Which of the following is NOT always true about a rectangle?

• All sides are congruent.
• The diagonals are congruent.
• Any two opposite sides are congruent.
• All angles are right angles.

In rectangle ABCD, what are the values of y and z?

• y = 55, z = 5
• y = 5, z = 5
• y = 35, z = 55
• y = 5, z = 55

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

The figure is a parallelogram.  
Solve for x.  

• 1
• 11
• 7
• 6

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

• 11
• 14
• 9
• 22