Proving Parallel Lines
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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?

    <p>Consecutive exterior angles. (B)</p> Signup and view all the answers

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

    <p>Showing that alternate interior angles are congruent. (B)</p> Signup and view all the answers

    Which angles are given as supplementary in the proof?

    <p>Angle 4 and angle 7 (B)</p> Signup and view all the answers

    What is the purpose of using arcs in the diagram?

    <p>To indicate the given statement (D)</p> Signup and view all the answers

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

    <p>One of the converses (A)</p> Signup and view all the answers

    Which angles are mentioned in the given statement?

    <p>Angle 4 and angle 7 (C)</p> Signup and view all the answers

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

    <p>Identifying the given statement (C)</p> 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.

    Continuing the Proof

    • To continue the proof, we need to find a pair of congruent angles to use as a transitive property to prove that the lines are parallel.

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    Description

    Test your knowledge on proving parallel lines with this quiz. Learn how to use given statements and supplementary angles to prove lines are parallel.

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