Properties of Parallelograms

Properties of Parallelograms

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

Parallelogram Conjecture #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 Conjecture #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 Conjecture #3

Consecutive angles of a parallelogram are supplementary (add to  $180\degree$ )

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 Conjecture #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