![]() ![]() So the converse of the parallel lines there is true. If you have one pair of corresponding angles that are congruent you can say these two lines must be parallel. Math > High school geometry > Congruence > Proofs of general theorems. Microsoft Word - Parallel Proofs. That's enough to say that they're parallel.Īnd finally, corresponding angles. Parallel Lines Proof Worksheet Name Write a 2 column or flow proof on your own paper. That is these two angles right here that are alternate exterior, if those two are congruent, you don't even need to know about these interior ones. What are parallel, intersecting, and skew lines (Examples 1-8) 00:09:34 Overview of transversal and angle pair relationships (Examples 9-14) 00:20:52 Theorems for perpendicular and parallel. ![]() Parallel Lines Cut By A Transversal Lesson & Examples (Video) 1 hr 10 min. If two lines and a transversal form alternate interior angles, notice I abbreviated it, so if these alternate interior angles are congruent, that is enough to say that these two lines must be parallel. And lastly, you’ll write two-column proofs given parallel lines. So the question is, if we have two lines that might be parallel and they're intersected by a transversal, can we do the converse of the parallel lines theorem? Which says, if we have alternate interior angles or alternate exterior angles, or corresponding angles that are congruent, is that enough to say that these two lines are parallel? And as we read right here, yes it is. The Elements contains the proof of an equivalent statement (Book I, Proposition 27): If a straight line falling on two straight lines make the alternate angles. Displaying all worksheets related to - Parallel Line Proofs. ![]()
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