Introduction to Parallel Line Proofs

​RTI 3.3 Proofs with Parallel Lines

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Multiple Choice

What is the reason the two lines are parallel? #2

• Converse of the Corresponding Angles Theorem

• Converse of the Alternate Interior Angles Theorem

• Converse of the Alternate Exterior Angles Theorem

• Converse of the Consecutive Interior (Same-Side Interior) Angles Postulate

• Not Enough Information to Prove Parallel

Multiple Choice

Find the value of x that makes line u parallel to v. #1

• x = 6

• x = 10

• x = 30

• x = 5

Multiple Choice

What value of x would make the lines parallel? #3

• 13

• 35

• 37

• 78

• 102

Multiple Choice

Which value of x will show that lines l and m are parallel? #4

• 20
• 22
• 24
• 25

Multiple Choice

What value of x proves that line p is parallel to line r? #5

• 14
• 12.5
• 15
• 25

Multiple Choice

Which of the following relationship proves that j is parallel to k? #7

• ∠3 and ∠4 are supplementary
• ∠4 and ∠5 are supplementary
• ∠1 ≅ ∠3
• ∠2 ≅ ∠3

Multiple Choice

Which condition will prove that line l is parallel to line m? #8

• ∠1 ≅ ∠3
• ∠3 ≅ ∠5
• ∠1 ≅ ∠6
• ∠6 ≅ ∠5

Multiple Choice

Which could be used to prove the lines are parallel? #10

• Corresponding
• Alternate Interior
• Linear Pair
• Cannot be proved parallel

Multiple Choice

Which could be used to prove the lines are parallel? #11

• Vertical
• Alternate Interior
• Corresponding
• Cannot be proved parallel

Multiple Choice

If m∠7 + m∠8 = 180°, which of the following can be concluded? #19

• r is parallel to s by converse of Alternate Interior Angles Thm.

• r is parallel to s by Converse of Consecutive Interior Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

Multiple Choice

If ∠1 ≌∠2, which of the following can be concluded? #21

• r is parallel to s by Converse of Corresponding Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

Multiple Choice

For what value of x are the two lines m and n parallel?

What is the angle relationship between the 2 angles? #25

• x = 9 by Alternate Exterior Angles

• x = 39 by Alternate Exterior Angles

• x = -9 by Alternate Interior Angles

• x = 7 by Corresponding Angles