Understanding Properties of Parallel Lines in Geometry
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.
Understanding Properties of Parallel Lines in Geometry
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Presentation Transcript
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
