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Geometry 4.7b, Proving the Parallel & Perpendicular Lines Theorems

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First published at 13:27 UTC on August 31st, 2018.

JoAnn's School

JoAnnsSchool

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An explanation of how slopes can be used to determine if two lines in the coordinate plane are parallel or perpendicular. We review the Parallel Lines Theorem and the Perpendicular Lines Theorem, and discuss how they can be broken into three parts. We prove both the Parallel & Perpendicular Lines Theorems by using congruent triangles in paragraph proofs. Why we might not use Hypotenuse-Leg (HL) as a reason for congruence for right triangles.

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