Parallelograms

For what values of a and b is the quadrilateral a parallelogram? a =​ (a)   and b =​ (b)  

• 4

• 17

• 8

• 3

• 12

• 15

• 2

• 5

In a parallelogram, if the length of one diagonal is 10 units, which of the following must be true about the other diagonal?

• It is also 10 units.

• It is more than 10 units.

• It is less than 10 units.

• Cannot be determined without more information.

• A

• B

• C

• D

• E

• EC

• DC

• DCB

• ABC

• AD

• BE

Refer to parallelogram ABCD. LABEL what angle BCD should be.

a

260

25

114

65

Find the value of each variable in the parallelogram.

• 28

• 87

• 18

• 103

• 38

• 119

• 74

• 49

• 39

• 35

• 106

• 57

• 131

• 145

Determine if the following quadrilaterals are parallelograms by using one of the listed reasons.

d

f

b

g

c

h

A

F

B

E

D

F.

F!

C

A parallelogram has two consecutive angles, one of which is twice the size of the other. What is the measure of the smaller angle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Which property is not a characteristic of every parallelogram?

• Opposite sides are parallel.

• Opposite sides are congruent.

• Opposite angles are congruent.

• All angles are acute.