Parallel Lines Proof

2) Which statement represents what you have to prove from the question?

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3) What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

What is the reason for Statement 3

• Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180°

• Same-side Interior Angles Theorem

• Vertical Angles Theorem

What is the reason for Statement 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

• Def of Alt Ext Angles
• Alt Ext Angle Thm
• Alt Ext Angle Convese
• Alt Int Angle Thm

What is the correct reason for statement #1?

• Given

• Given by diagram

• If two parallel lines are cut by a transversal, then corresponding angles are congruent.

• If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary.

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

What is the reason?

• Definition of Corresponding Angles

• Corresponding Angles Postulate

• Corresponding Angles Convese

• Consecutive Interior Angles Theorem

When two parallel lines are cut by a transversal, all pairs of angles created are either _________ or _________.

• Congruent, supplementary

• Congruent, complementary

• Supplementary, complementary

• Corresponding, vertical

What is the relationship of ∠3 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles