Geometric Proofs Proving Parallel Lines

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3
• ∠5 and ∠6
• ∠4  and ∠10
• ∠6  and ∠14

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

• 20
• 22
• 24
• 25

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

• 14
• 12.5
• 15
• 25

Which value of x will show that line m is parallel to line r?

• 33
• 25
• 24
• 20

Which could be used to prove the lines are parallel?

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

Which could be used to prove the lines are parallel?

• Converse of Alternate Interior Angles Theorem

• Converse of Same-Side Interior Angle Postulate

• Converse of Corresponding Angles Postulate

• Cannot be proved parallel

Which could be used to prove the lines are parallel?

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

Solve for the value of y that would prove the lines parallel.

• y = 20

• y = 120

• y = 60

• y = 10

Select the figure that makes lines r and t parallel.

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Solve for the value of x that would prove the lines parallel.

• 6

• 140

• 20

• 90