Parallel Lines Cut by Transversal Proof

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

• Converse of Corresponding Angles Postulate

• Transitive Property of Congruence

• Substitution

• Algebra

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

• 43

• 37

• 143

• 37

What is the Alternate Interior Angle Theorem?

• If two parallel lines are cut by a transversal, then the resulting alternate interior angles are congruent .

• If two angles are congruent, they are on parallel lines.

• If two parallel lines are cut by a transversal, then the angles are all congruent

• If two alternate interior angles are congruent, the lines are parallel.

What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

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 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

What is the reason for Statement 3?

• Vertical Angles Theorem

• Transitive Property of Congruence

• Converse of Corresponding Angles Theorem

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

Which is a pair of corresponding angles?

• ∠4 and ∠3

• ∠4 and ∠1

• ∠4 and ∠2

• ∠4 and ∠8

Find the measure of angle 1.

• 28^o

• 136^o

• 44^o

• 6^o