Proofs with Parallel Lines

What is reason #2?

• Vertical angles are congruent.

• Consecutive angles are congruent.

• Alternate interior angles are congruent.

• Definition of Bisect

What is statement #6?

• BC≅BC

• BC≅DA

• ∠BCD≅BAC

• AB≅CD

Why is ∠KMJ ≌∠LJM?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

What is the "reason" for step 5 of the proof?

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

If you know that angle 4 ≅ angle 6, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Converse of alternate interior angles theorem

• Converse of same side interior angles postulate

• Converse of alternate exterior angles theorem

What is the reason for Statement 3?

• Vertical Angles Theorem

• Transitive Property of Congruence

• Converse of Corresponding Angles Theorem

1) Which statement restates the Given from the question?

• 
• 
• 

What is the reason for Statement 2?

• Corresponding Angles Postulate

• Vertical Angles Theorem

• Same-side Interior Angles Theorem

• Alternate Exterior Angles Theorem

What is the reason for Statement 3?

• Definition of Supplementary Angles

• Transitive Property of Congruence

• Converse of Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180