Parallel Lines Proof

If ∠6 is supplementary to ∠7, then ________.

• line b is parallel to line a

• line c is parallel to line a

• line b is parallel to line d

• line c is parallel to line d

• Cannot determine 2 lines to be parallel.

If ∠11 ≅ ∠7, then ________.

• line b is parallel to line a

• line c is parallel to line a

• line b is parallel to line d

• line c is parallel to line d

• Cannot determine 2 lines to be parallel.

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.

What is the reason for Statement 4 to complete the proof?

• Converse of Corresponding Angles Postulate

• Transitive Property of Congruence

• Substitution

• Algebra

9) What is the Given for Statement 1?

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What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

Which proof is incorrect?

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1) Which statement restates the Given from the question?

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