Proving parallel lines

Name the relationship between ∠2 and ∠7.

• corresponding angles
• alternate interior angles
• alternate exterior angles
• vertical angles

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• Same Side Interior

Mia, Kai, and Maya are on a treasure hunt. They come across a map with lines that could be parallel. Which method could they use to prove the lines are indeed parallel?

• Alternate Interior Angles Converse

• Consecutive Interior Converse

• Corresponding Angles Converse

• Cannot be proved parallel

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

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

Which lines are parallel, and why?

• m || n because corresponding angles are congruent

• m || n because alternate interior angles are congruent

• p || q because corresponding angles are congruent

• p || q because alternate interior angles are congruent

Which lines are parallel, and why?

• m || n because corresponding angles are congruent

• m || n because alternate interior angles are congruent

• p || q because corresponding angles are congruent

• p || q because alternate interior angles are congruent

Which lines are parallel, and why?

• m || n because corresponding angles are congruent

• m || n because alternate interior angles are congruent

• p || q because corresponding angles are congruent

• p || q because alternate interior angles are congruent

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?

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

Select the figure that makes lines r and t parallel.

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