2.6 Proofs Involving Parallel Lines

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

What is the relationship of ∠16 and ∠8?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

Tags

CCSS.8.G.A.5

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Tags

CCSS.8.G.A.5

What statement can be made from the diagram using the Corresponding Angles Postulate?

• ∠1 and ∠2 are supplementary

• m∠1 + m∠2 = 180°

• ∠1 ≅ ∠2

• m∠1 = m∠2

Tags

CCSS.8.G.A.5

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

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

Tags

CCSS.HSG.CO.C.9

3) What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

Tags

CCSS.8.G.A.5

What is the relationship of ∠1 and ∠5?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles

Tags

CCSS.8.G.A.5

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

• Converse of Corresponding Angles Postulate

• Transitive Property of Congruence

• Substitution

• Algebra

Tags

CCSS.8.G.A.5

What is the relationship of ∠4 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

Tags

CCSS.8.G.A.5

If it is given that p ∥ q, what are ALL correct statements that can be made?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• m∠2 + m∠3 = 180° by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior angles theorem

Tags

CCSS.8.G.A.5