Proofs Parallel Lines

Which proof is incorrect?

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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

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

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

• 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.

What is the reason?

• Definition of Corresponding Angles

• Corresponding Angles Postulate

• Corresponding Angles Convese

• Consecutive Interior Angles Theorem

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Solve for the variable.

• x = 16

• x = 8

• x = 4

• x = 2