Parallelogram Proofs(with triangle congruence) M15.6

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

Tags

CCSS.HSG.CO.C.11

What is reason #4?

• Same-side interior angles theorem

• alternate interior angles theorem

• consecutive angles theorem

• supplementary angles

Tags

CCSS.HSG.CO.C.11

What is reason #5?

• vertical angles theorem

• stuck together and sharing a side theorem

• shared side property

• reflexive property

What is reason #6?

• SSS Triangle Congruence Postulate

• AAS Triangle Congruence Theorem

• ASA Triangle Congruence Theorem

• SAS Triangle Congruence Theorem

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is reason #7?

• Coffee Please Control the Creamer

• PSATs

• SATs

• CPCTC

Tags

CCSS.HSG.CO.C.11

Determine the correct reason for statement #2.

• all sides are congruent property

• all sides are parallel property

• Definition of a quadrilateral

• Definition of parallelogram

Tags

CCSS.HSG.CO.C.11

CCSS.HSG.GPE.B.5

Determine the correct reason for statement #3.

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorem

• Same- Side Angles Theorem

• Congruent Angles Theorem

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.11

Determine the correct reason for statement #6.

• All sides are congruent postulate

• CPCTC

• Reflexive Property

• Vertical Angles Theorem

Tags

CCSS.HSG.CO.C.11