Parallel Lines Proofs

What is the reason?

• Definition of Corresponding Angles

• Corresponding Angles Postulate

• Corresponding Angles Convese

• Consecutive Interior Angles Theorem

Tags

CCSS.8.G.A.5

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

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 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

What is the relationship of ∠3 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.5

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.A.1

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

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