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Select Answers to Homework. 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 Int 13) SSI 14) Alt. Int 15) SSI 16) Corr. 18) SSI 19) Corr 20) SSI 21) Alt. int 22) Alt. Int 23) Corr.
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Select Answers to Homework 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 Int 13) SSI 14) Alt. Int 15) SSI 16) Corr. 18) SSI 19) Corr 20) SSI 21) Alt. int 22) Alt. Int 23) Corr
Postulate • 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. 1 2 3 4 5 6 7 8
Theorem • If two parallel lines are cut by a transversal, then alternate interior angles are congruent • What 2 pairs of angles are congruent? 1 2 3 4 5 6 7 8
Theorem • 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? 1 2 3 4 5 6 7 8
Theorem • If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well.
Example • Find x, y, and z. 110 x 2z 2y
TOO • Find x, y, and z. z y 2x 40
Homework • 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!!