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Learn about the theorems and properties of parallel lines, including corresponding angles, alternate interior angles, and perpendicular lines in geometry lessons. Explore examples and proofs with parallel lines.
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Aim: B D 2) 1) B D ( ( 95 85 A C A E C E 3) A C 4) ) C D ) B D A B What are the properties of parallel lines? Do Now:
l m 4 8 Theorem #15: 3 k 7 2 Corresponding angles formed by a transversal and two parallel lines are congruent. 6 1 5 Theorem #16: Alternate interior angles formed by a transversal and two parallel lines are congruent. Theorem #17: If parallel lines are cut by a transversal, then two interior angles on the same side of the transversal are supplementary. Theorem #18: If a line is perpendicular to one of two parallel lines, it is perpendicular to the other. Properties of parallel lines Geometry Lesson: Properties of Parallel Lines
E G A B a) C D H F b) Ex: Properties of Parallel Lines Geometry Lesson: Properties of Parallel Lines
A B D F H a) b) c) Ex: Properties of Parallel Lines Geometry Lesson: Properties of Parallel Lines
R Given: P Prove: M Q Ex Proof w/parallel lines: Given Given Reflexive Postulate S.A.S. Postulate C.P.C.T.C. Geometry Lesson: Properties of Parallel Lines
T N 3) Given: Prove: F Q D 2) Given: Prove: S Q M 3) Given: T D Prove: P D M G Proofs w/parallel lines: Geometry Lesson: Properties of Parallel Lines
l 2 1 3 k m A B 3 4 2 1 D C Ex w/parallel lines: Geometry Lesson: Properties of Parallel Lines
