Properties of Parallelograms

Properties of Parallelograms

​LO: I will use properties of parallelograms to solve for variables.
CO: I will use the properties of parallelograms to describe and identify parallelograms.
EQ: What are the properties of a parallelogram?

A parallelogram is a quadrilateral with both pairs of opposite sides are parallel. 

Parallelogram Property #1

 

Opposite sides of a parallelogram are congruent.

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 4

• 12

• 5

• 2

Multiple Choice

Solve for x.

• 15

• 30

• 23

• 46

Parallelogram Property #2

Opposite angles of a parallelogram are congruent.

Multiple Choice

Find m∠U.

• 95°
• 85°
• 75°
• 90°

Multiple Choice

Solve for y.

• $$70\degree$$

• $$110\degree$$

Multiple Choice

• FG = 6, m<G = 120

• FG = 16, m<G = 60

• FG = 8, m<G = 60

• FG = 7, m<G = 65

Parallelogram Property #3

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 1

• 10

• 4

• 5

Multiple Choice

Find the m∠R.

• 40°

• 140°

• 50°

• 180°

Multiple Choice

Find the measure of angle b.

• b = 51

• b = 129

Parallelogram Property #4

The diagonals of a parallelogram bisect each other.

Multiple Choice

If AE = 8, find CE.

• 4

• 8

• 16

Multiple Choice

If DB = 20, find DE.

• 5

• 10

• 20

• 40

Open Ended

After going through this lesson, which type of problem(s) do you feel like you can do well? Explain.

Open Ended

After going through this lesson, which type of problem(s) do you feel like you are still struggling with? Explain.