Properties of Parallelograms

6-2 PROPERTIES OF
PARALLELOGRAMS

OBJECTIVE

•To use the properties of sides, angles, diagonals,
and transversals in quadrilaterals to find
missing values, side and diagonal lengths,
and angle measures.

PROPERTIES: SIDES AND ANGLES
•Theorem 6-1

Fill in the Blanks

Theorem 6-1 says...

(BLANK) sides of parallelograms are CONGRUENT.

PROPERTIES: SIDES AND ANGLES

• CONSECUTIVE ANGLES of a parallelogram are

SUPPLEMENTARY.

• Consecutive angles are angles that share a SIDE.

Open Ended

Name the 4 pairs of consecutive angles in parallelogram ABCD.

PROPERTIES: SIDES AND ANGLES

• Theorem 6-2

Fill in the Blanks

Theorem 6-2 says...

Opposite (BLANK) of a parallelogram are congruent.

PROPERTIES: SIDES AND ANGLES

• Example 2

Fill in the Blanks

What do QR and PS equal?

PROPERTIES: DIAGONALS AND
TRANSVERSALS

• Theorem 6-3

• The DIAGONALS of parallelograms BISECT each

other.

Draw

Draw on the parallelogram to show that they bisect each other.

PROPERTIES: DIAGONALS AND
TRANSVERSALS

• Example 3

• Remember: To solve a system, ISOLATE one

variable. Then, SUBSTITUTE into the other to
solve.

Open Ended

What system would you make for this parallelogram?

PROPERTIES: DIAGONALS AND
TRANSVERSALS

• Theorem 6-4

• If three (or more) parallel lines cut off CONGRUENT

segments on one TRANSVERSAL, then they cut off
CONGRUENT segments
on every TRANSVERSAL.

Fill in the Blanks

What does EH equal?

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 1
• 11
• 7
• 6

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 7
• 1
• 5
• 2

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 1
• 10
• 4
• 5

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 0
• 6
• 5
• 9