Podcast
Questions and Answers
Which statement is true about parallel line proofs?
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?
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?
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?
What is the converse of alternate interior angles?
What is one way to prove lines are parallel in a parallel line proof?
What is one way to prove lines are parallel in a parallel line proof?
Which angles are given as supplementary in the proof?
Which angles are given as supplementary in the proof?
What is the purpose of using arcs in the diagram?
What is the purpose of using arcs in the diagram?
What do we need to find in order to continue the proof?
What do we need to find in order to continue the proof?
Which angles are mentioned in the given statement?
Which angles are mentioned in the given statement?
What is the first step in writing a parallel line proof?
What is the first step in writing a parallel line proof?
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.
