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Proving Lines are Parallel Students learn the converse of the parallel line postulate. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.

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In mathematics, Buffon's needle problem is a question first posed in the 18th century by Georges-Louis Leclerc, Comte de Buffon:. Suppose we have a floor made of parallel strips of wood, each the same width, and we drop a needle onto the floor.

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This consists of test cases (including ones from James Clark, Makato Murata, and myself) as well as test documentation and a framework for those tests (heavy contributions from myself and from NIST). Since the OASIS group only released this on 12 July, it's perhaps appropriate to see some results get reported!

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Proving that angles are congruent: If a transversal intersects two parallel lines, then the following angles are congruent (refer to the above figure): Alternate interior angles: The pair of angles 3 and 6 (as well as 4 and 5) are alternate interior angles .

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3.1 Lines and Angles 3.2 Proof and Perpendicular Lines 3.3 Parallel Lines and Transversals 3.4 Proving Lines are Parallel 3.5 Using Properties of Parallel Lines 3.6 Parallel Lines in the Coordinate Plane 3.7 Perpendicular Lines in the Coordinate Plane

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Vocab Quiz . Bring p. 159-216 from the book. 10/21. 10/22. Prove the vertical angles theorem, and use angle pair relationships when parallel lines are cut by a transversal. 4.1 Angles formed by Intersecting. 4.2 Transversals & Parallel Lines. Classwork . pg. 169: #1-9. pg. 180: #1-14. 10/23. 10/24. Use angle pair relationships to prove lines ...