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This activity walks students through how to prove lines are parallel.
These interactive notebook pages for parallel lines in geometry were so helpful for my student's notes. We put the foldables in their INBs and worked on activities afterwards. They didn't struggle with the equations of parallel and perpendicular lines because it was review from algebra.
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.
Videos, worksheets, games and activities to help PreCalculus students learn how to use the converse of the parallel lines theorem to prove that lines are parallel. What is the corresponding angle postulate?
Prepare a worksheet with several math problems on how to prove lines are parallel. For instance, students are asked to prove the converse of the alternate exterior angles theorem using the two-column proof method. Include a drawing and which angles are congruent. Divide students into pairs.
Proof that corresponding angle equivalence implies parallel lines.
Construct parallel lines. Prove theorems about parallel lines. Use the Transitive Property of Parallel Lines. Using the Corresponding Angles Converse Theorem 3.5 below is the converse of the Corresponding Angles Theorem (Theorem 3.1). Similarly, the other theorems about angles formed when parallel lines are cut by a transversal have true converses.