Solve Properties of Parallelograms and Polygons

The figure is a parallelogram.  
Solve for x.  

• 1

• 11

• 7

• 6

The figure is a parallelogram.  
Solve for x.  

• 7

• 2

• 0

• 4

which of the following do not have ALL the properties of a parallelogram?

• rhombus

• trapezoid

• rectangle

• square

Which of the following properties is true about parallelograms?

• Base angles are congruent.

• Diagonals are congruent.

• Opposite sides are parallel.

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°.

CD =

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°.

m∠DBC=

What is the value of x?

• 132

• 66

• 114

• 48

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=