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Unformatted text preview: 98 Transversals to Many Parallel Lines
A) Intercept a. If a transversal intersects two lines L1andL2 in points A and B, then we say that L1 andL2 intercept the segment the transversal. i. AB on B) Theorem 929 a. If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any other transversal i. Proof: What do we know about quadrilateral AGED and quadrilateral GHFE? So what do we know about AG and DE? How about GH and EF? Therefore DE = EF b/c of C) Theorem 930 a. If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any other transversal i. (This is different from theorem 929 in that the transversals do not need to be parallel) ii. b. Proof: (Prove DE = EF) If T1  T3 then what do we know? Do we know any congruent angles? So what two triangles are congruent? What does CPCTC tell us? D) Corollary 930.1 a. If three or more parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any other transversal i. (This is different from 930 b/c it is allowing us to use more than three parallel lines at once) ii. ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.
 Spring '09
 Johnson
 Algebra

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