Parallel Lines Cut by a Transversal Proof

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

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

• 43

• 37

• 143

• 37

Tags

CCSS.8.G.A.5

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 reason for Statement 3

• Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180°

• Same-side Interior Angles Theorem

• Vertical Angles Theorem

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

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

Tags

CCSS.8.G.A.5

• 62

• 72

• 118

• 180

Tags

CCSS.8.G.A.5

Which condition will prove that line l is parallel to line m?

• ∠1 ≅ ∠3

• ∠3 ≅ ∠5

• ∠1 ≅ ∠6

• ∠6 ≅ ∠5

Tags

CCSS.8.G.A.5

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• none of the above

Tags

CCSS.8.G.A.5

Which reason should go in step 3

• Same side interior theorem

• Corresponding angles theorem

• Alternate interior angles theorem

• Alternate exterior angles theorem

Tags

CCSS.8.G.A.5

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Tags

CCSS.8.G.A.5