Diagonals of Parallelogram

6-2 Properties of Parallelograms

Multiple Choice

In a parallelogram, consecutive angles are __________.

• congruent

• supplementary

• corresponding

• parallel

Multiple Choice

The opposite angles of a parallelogram are ...

• complementary

• congruent

• supplementary

• perpendicular

Multiple Choice

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

Multiple Choice

The opposite sides of a parallelogram are...

• congruent

• perpendicular

• skew

• supplementary

Multiple Choice

In a parallelogram, diagonals are __________.

• perpendicular

• bisected

• congruent

• parallel

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
• 2
• 0
• 4

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 10

• 3

• 5

• 12

Multiple Choice

If ABCD is a parallelogram, what is the length of BD? 

• 10
• 11
• 7
• 5

Multiple Choice

If  $$\angle ACD=110\degree$$  and  $$\angle DAB\ =30\degree$$  , what is the measure of  $$\angle CAD$$  ?

• $$80\degree$$  

• $$40\degree$$  

• $$30\degree$$  

• $$70\degree$$  

Multiple Choice

What is the length of  $$\overline{AD}$$  ?

• 12

• 20

• 24

• 32

Multiple Choice

What is the value of a?

• 0

• 10

• 12

• 27

Multiple Choice

In parallelogram ABRK, $$\angle RAB\cong\angle ARK$$  because which two sides are parallel?

• $$\overline{BR}$$  and  $$\overline{KA}$$  

•   $$\overline{AB}$$  and  $$\overline{RK}$$  

•  $\overline{BR}$  and  $\overline{RK}$  

•   $\overline{AB}$  and  $\overline{KA}$  

Multiple Choice

In parallelgram ABRK, $$\overline{RA}\cong\overline{AR}$$  for what reason?

• Symmetric Property

• CPCTC

• Reflexive Property

• SSS

Multiple Choice

In parallelgram ABRK, $$\Delta ARB\cong\Delta RAK$$   for what reason?

• ASA

• SAS

• AAS

• SSS

Proof #1

Multiple Choice

Determine the correct reason for statement #2.

• all sides are congruent property

• all sides are parallel property

• Definition of a quadrilateral

• Definition of parallelogram

Multiple Choice

Determine the correct reason for statement #3.

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorem

• Same- Side Angles Theorem

• Congruent Angles Theorem

Multiple Choice

Determine the correct reason for statement #4.

• opposite sides of a parallelogram are congruent theorem

• all sides are parallel

• sides are congruent

• sides are supplementary

Multiple Choice

Determine the correct reason for statement #5.

• Side Angle Side Triangle Congruence Theorem

• CPCTC

• Angle Side Angle Triangle Congruence Theorem

• Side Side Side Triangle Congruence Theorem

Multiple Choice

Determine the correct reason for statement #6.

• All sides are congruent postulate

• CPCTC

• Reflexive Property

• Vertical Angles Theorem

Proof #2

Multiple Choice

What is reason #3? Make sure you write-in the reasons on your proofs.

• Definition of a parallelogram

• Definition of a quadrilateral

• opposite sides are congruent property

• opposite sides are supplementary

Multiple Choice

What is reason #4?

• Same-side interior angles theorem

• alternate interior angles theorem

• consecutive angles theorem

• supplementary angles

Multiple Choice

What is reason #5?

• vertical angles theorem

• stuck together and sharing a side theorem

• shared side property

• reflexive property

Multiple Choice

What is reason #6?

• SSS Triangle Congruence Postulate

• AAS Triangle Congruence Theorem

• ASA Triangle Congruence Theorem

• SAS Triangle Congruence Theorem

Multiple Choice

What is reason #7?

• Coffee Please Control the Creamer

• PSATs

• SATs

• CPCTC