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Published byDuane Webb Modified over 9 years ago
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S ELECT A NSWERS TO H OMEWORK 8)a) b, c, T=a b) b, d, T=a 9)a) AB, EC and T=AC b) AC, ED and T= CE 10) a) FG, HK and T=IF b) GF, HK and T=GJ 11) Corr.12) Alt Int13) SSI14) Alt. Int 15) SSI16) Corr.18) SSI19) Corr 20) SSI21) Alt. int22) Alt. Int 23) Corr
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3-2 P ROPERTIES OF P ARALLEL L INES
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P OSTULATE If two parallel lines are cut by a transversal, then corresponding angles are congruent What 4 pairs are congruent? Note the arrows on the lines: means they are parallel. 12 3 4 56 78
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T HEOREM If two parallel lines are cut by a transversal, then alternate interior angles are congruent What 2 pairs of angles are congruent? 12 3 4 56 78
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T HEOREM If two parallel lines are cut by a transversal, then same-side interior angles are supplements. SSI starts with “S” and is the only one that is SUPPS!! What 2 pairs are supps? 12 3 4 56 78
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T HEOREM If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well.
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E XAMPLE Find x, y, and z. x 110 2y 2z
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TOO Find x, y, and z. 2x 40 y z
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H OMEWORK Page 80-82 #1-16, 20, 21 #20 and #21 are 4 Step Proofs (See whiteboard) See overhead for help with some!! Flash Cards 3 Theorems and a Postulate Corr angles SSI angles Alt. Int angles If perp. to one line then perp. to another Draw a picture on the flashcards!!
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