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9-8: Transversals to Many Parallel Lines

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Presentation on theme: "9-8: Transversals to Many Parallel Lines"— Presentation transcript:

1 9-8: Transversals to Many Parallel Lines
Proof Geometry

2 Definition Given a transversal T across 3 lines. If AB=BC, we say that the three lines intersect congruent segments

3 Congruent segments parallel transversals Theorem
If 3 parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on every transversal parallel to T. Why?

4 Congruent segments any transversals Theorem
If 3 parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on ANY other transversal Why?

5 The Median Concurrence Theorem
The medians of every triangle are concurrent. Their point of concurrency is called the centroid, and is two-thirds of the way along each median from the vertex to the opposite side.

6 The Median Concurrence Theorem
WHY?

7 Homework 9-8 Worksheet


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