Geometry Parallelogram

State which method we can use to show that the quadrilateral is a parallelogram. 

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel. 

If ABCD is a parallelogram, what is the length of BD?

• 10

• 11

• 6

• 5

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

• A

• B

• C

• D

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

a

b

260

25

17

65

100

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

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

​ ​ ​ (a)   ​

• 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 angle BCD should be.

a

114

25

260

65

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

The figure is a parallelogram.

Solve for x.

• x = 1

• x = 11

• x = 7

• x = 6