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10 Questions

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Proving Parallel Lines

Created by

@PowerfulCelebration

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Questions and Answers

Which statement is true about parallel line proofs?

Parallel lines are proven by showing that angle 4 and angle 7 are complementary.

Parallel lines are always proven by showing that corresponding angles are congruent.

Parallel lines are proven by showing that angle 4 and angle 7 are supplementary. (correct)

Parallel lines are proven by showing that alternate interior angles are congruent.

What is the first step in writing a parallel line proof?

Identifying given statements. (correct)

Identifying alternate interior angles.

Identifying corresponding angles.

Identifying supplementary angles.

What is the purpose of using arcs in the diagram?

To indicate alternate interior angles.

To indicate parallel lines.

To indicate congruent angles.

To indicate supplementary angles. (correct)

What is the converse of alternate interior angles?

Consecutive exterior angles. Signup and view all the answers

What is one way to prove lines are parallel in a parallel line proof?

Showing that alternate interior angles are congruent. Signup and view all the answers

Which angles are given as supplementary in the proof?

Angle 4 and angle 7 Signup and view all the answers

What is the purpose of using arcs in the diagram?

To indicate the given statement Signup and view all the answers

What do we need to find in order to continue the proof?

One of the converses Signup and view all the answers

Which angles are mentioned in the given statement?

Angle 4 and angle 7 Signup and view all the answers

What is the first step in writing a parallel line proof?

Identifying the given statement Signup and view all the answers

Study Notes

Parallel Line Proofs

Parallel line proofs involve showing that two lines are parallel by using the properties of angles formed by transversals.
The first step in writing a parallel line proof is to identify the given information and the conclusion to be proved.

Arcs in Diagrams

The purpose of using arcs in the diagram is to denote corresponding angles, alternate interior angles, or same-side interior angles.

Angles in Proofs

The converse of alternate interior angles is that if two lines are parallel, then alternate interior angles are congruent.
One way to prove lines are parallel in a parallel line proof is to show that corresponding angles are congruent.
The angles that are given as supplementary in the proof are same-side interior angles.
The angles mentioned in the given statement are alternate interior angles.