Parallel Line Proofs Worksheet

This worksheet focuses on proving lines are parallel using angle relationships formed by a transversal intersecting two lines.

Grade 10 Math GeometryParallel Line Proofs

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9

Topics

geometryparallel linestransversalproofsangles

7 sections · Free to use · Printable

Parallel Line Proofs

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Read each question carefully and provide the best answer. Show all your work for proofs.

1. If two parallel lines are cut by a transversal, which of the following angle pairs are NOT always congruent?

Alternate interior angles

Corresponding angles

Consecutive interior angles

Alternate exterior angles

2. If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are .

3. Consecutive interior angles are when two parallel lines are cut by a transversal.

4. In the diagram above, if angle 1 is congruent to angle 5, prove that line l is parallel to line m.

5. If corresponding angles are supplementary, then the lines are parallel.

True

False

6. Given that angle A and angle B are consecutive interior angles, and m∠A + m∠B = 180°, prove that line a is parallel to line b.