Proofs with Parallel Lines

What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior 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

What is the relationship of ∠16 and ∠8?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

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

State the angle relationship and find the measure of angle 1

• Alternate Interior
  37

• Alternate Interior
  143

• Corresponding
  143

• Corresponding
  37

If lines are parallel, then alternate interior angles are _____________

• congruent

• parallel

• complementary

• supplementary

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

In the given proof, what are the reasons for steps 1 and 3?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

What is the reason that goes with statement 2?

• vertical angles

• same side interior angles

• corresponding angles

• alternate exterior angles

What is the reason that goes with statement 3?

• vertical angles

• same side interior angles

• corresponding angles

• alternate exterior angles