Geometry Properties of Parallelograms

Which of the following properties is always true for a parallelogram?

• Diagonals bisect each other.

• Diagonals are perpendicular.

• Diagonals are congruent.

• Diagonals bisect opposite angles.

If ABCD is a parallelogram, find m∠D.

• 6°

• 53°

• 127°

• 13°

Find x.

• 75

• 85

• 105

• 95

Solve for x. Each figure is a parallelogram.

• A

• B

• C

• D

• A

• B

• C

• D

Refer to parallelogram ABCD. LABEL what angles ADC and BAD should be.

a

b

100

260

130

50

65

25

State which theorem you can use to show that the quadrilateral is a parallelogram.​

• Parallelogram Opposite Angles Converse

• Parallelogram Opposite Sides Converse

• Opposite Sides Parallel and Congruent Theorem

• Definition of a Parallelogram

• Parallelogram Diagonals Converse

Refer to parallelogram ABCD. LABEL what x and side AB should be.

a

b

25

260

65

100

17

4

Find the values of x and y that make

the quadrilateral a parallelogram.

​ ​ x=​ (a)  

y=​ (b)  

• 1

• 6

• 2

• 3

• 4

• 5

• 7

• 8

• 9

• 10

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

a

65

114

260

25