Parallelogram Proofs

Fill in the Reason.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

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

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

• Symmetric Property

• CPCTC

• Reflexive Property

• SSS

• ASA

• SAS

• AAS

• SSS

Fill in the Reason

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Fill in the Reason.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

What is reason #4?

• Same-side interior angles theorem

• alternate interior angles theorem

• consecutive angles theorem

• supplementary angles

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

Fill in the Reason #3.

• Alternate interior angles are congruent.

• Vertical angles are congruent.

• Reflexive Property

Fill in the Statement