Parallel or Not Parallel Using Converses

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

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

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

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

Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?

• ∠2 ≅ ∠3
• ∠2 ≅ ∠6 
• m∠7 + m∠8 = 180°
• m∠3 + m∠5 = 90°

Select the figure that makes lines r and t parallel.

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In this figure, angle 1 = 135 degrees
Which of these statements is enough to prove that lines m and n are parallel?

• angle 2 = 45 degrees
• angle 3 = 135 degrees
• angle 8 = 135 degrees
• angle 5 = 135 degrees

Which converse proves that a || b?

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Corresponding Angles Converse

• Consecutive Interior Angles Converse

• Line a is not parallel to line b

Which lines are parallel?

(select all that apply)

• a || b

• c || d

• c || e

• d || e

• None

Which of the following statements is true?

• a || b by the Alternate Interior Angles Converse

• c || d by the Alternate Interior Angles Converse

• b || d by the Consecutive Exterior Angles Converse

• c || d by the Consecutive Interior Angles Converse

• No lines can be proven parallel

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