the converse of the alternate exterior angles theoremĬonverse of the Alternate Interior Angles Theorem.the converse of the same-side interior angles postulate.the converse of the corresponding angles theorem.the converse of the alternate interior angles theorem.More specifically, point out that we’ll use: the converse of their theorems) when proving lines are parallel. Point out that we will use our knowledge on these angle pairs and their theorems (i.e. Remind students that when a transversal cuts across two parallel lines, it creates 8 angles, which we can sort out in angle pairs. If the line cuts across parallel lines, the transversal creates many angles that are the same. Remind students that a line that cuts across another line is called a transversal. Ways to Prove Lines Are Parallelįor starters, draw two parallel lines on the whiteboard, cut by a transversal. ![]() You may also want to look at our article which features a fun intro on proofs and reasoning. ![]() You can check out our article on this topic for more guidelines and activities, as well as this article on proving theorems in geometry which includes a step-by-step introduction on statements and reasons used in mathematical proofs. That’s why it’s advisable to briefly review earlier knowledge on logic in geometry. They should already know how to justify their statements by relying on logic. In your lesson on how to prove lines are parallel, students will need to be mathematically fluent in building an argument. Teaching Strategies on How to Prove Lines Are Parallel Review Logic in Geometry and Proof ![]() To help you out, we’ve compiled a list of awesome teaching strategies for your classroom. 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.įor many students, learning how to prove lines are parallel can be challenging and some students might need special strategies to address difficulties. In advanced geometry lessons, students learn how to prove lines are parallel.
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