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Learn the types of lines and angles used to solve proofs involving parallel lines, and follow the steps to complete incomplete proofs. See examples of proofs using corresponding angles, vertical angles, and other properties of parallel lines.
Learn how to use theorems and converses about parallel lines and transversals to make mathematical arguments. Explore examples, diagrams, and constructions of parallel lines.
This geometry video tutorial explains how to prove parallel lines using two column proofs. This video contains plenty of examples and practice problems for ...
If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel. To show that congruent exterior angles will also prove the lines parallel, we will establish a connection between the exterior angles and angles 1 and 2, which are inside the triangles.
Proofs involving parallel lines are logical arguments that establish the relationships and properties of angles formed when a transversal intersects two parallel lines.
In advanced geometry lessons, students learn how to prove lines are parallel. More specifically, they learn how to identify properties for parallel lines and transversals and become fluent in constructing proofs that involve two lines parallel or not, that are cut by a transversal.
Learn how to identify, construct and prove theorems about parallel lines using corresponding, alternate and consecutive angles. See examples, exercises and self-assessment questions with solutions.
