Polygon Angles and Parallelograms

Which of the following are parallelogram properties?

• opposite sides parallel

• diagonals congruent

• diagonals bisect each other

• opposite angles congruent

• opposite sides congruent

The figure is a parallelogram.  
Solve for x.  

• 7

• 1

• 5

• 2

The figure is a parallelogram.  
Solve for x.  

• 5

• 4

• 6

• 2

Fill in the blank:  In a parallelogram, opposite angles are _____________.

• congruent

• supplementary

• perpendicular

• parallel

Reason 1: Given

Reason 2: ​ (a)  

Reason 3 and 4: ​ (b)  

Reason 5: ​ (c)  

Reason 6: ​ (d)  

Reason 7: ​ (e)  

• Definition of parallelogram

• Alternate Interior Angles

• Parallelogram diagonals bisect each other

• AAS

• CPCTC

• Alternate Interior Converse

• Definition of Bisector

• ASA

If EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, m∠BED = 55°, m∠CDB = 67°,

and m∠BCE = 24°.

BD =

If EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, m∠BED = 55°, m∠CDB = 67°,

and m∠BCE = 24°.

CD =

If EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, m∠BED = 55°, m∠CDB = 67°,

and m∠BCE = 24°.

m∠DBC=

If EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, m∠BED = 55°, m∠CDB = 67°,

and m∠BCE = 24°.

m∠EDC=

If EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, m∠BED = 55°, m∠CDB = 67°,

and m∠BCE = 24°.

m∠EBD=