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ANSWERS TO HOMEWORK. Front 1 & 6) corr.angles 2) If perp. to 1 line, then perp. to the other line 3 & 8) SSI angles are supps 4& 7) Alt. Int. angles 5) Vert. angles cong. 9) 6,9,14,3,8,11,16 10) 2,4,5,7,10,12,13,15 11) #9 angles =120 #10 angles = 60
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ANSWERS TO HOMEWORK Front 1 & 6) corr.angles 2) If perp. to 1 line, then perp. to the other line 3 & 8) SSI angles are supps 4& 7) Alt. Int. angles 5) Vert. angles cong. 9) 6,9,14,3,8,11,16 10) 2,4,5,7,10,12,13,15 11) #9 angles =120 #10 angles = 60 12) 80, 100 13) 75, 75 14) 85, 85 15) 85, 95 18) Given, Corr. Angles are congruent, Subst. 19) Def. of Perp., If perp. to 1 line, perp. to other, Def of perp., subst.
Answers to Back 1) x = 18, y = 20 2) x = 15, y = 18 3) x = 15, y = 40 4) x and y = 70 5) x= 60 y = 65 6) x = 50 y = 90 7) x = 42 y = 108 z = 18 8) x = 110 y = 24 z = 34 9) x = 20 y = 25 z = 24 10) x = 50 y = 10 z = 65 11) Given, Alt. Int angles are congruent, Ang. Add. Post., Subst.
CONVERSE DAY!!! Use these to Prove Lines are parallel. They will ask you “Are the lines Parallel?” Postulate If two lines are cut by a transversal and corr. angles are cong. then the lines are parallel. Theorem If two lines are cut by a transversal and alt. int. angles are congruent, then the lines are parallel
CONVERSE DAY!!! Theorem If 2 lines are cut by a transversal and SSI are supplements, then the lines are parallel. Theorem Two lines perpendicular to the same line are parallel.
TOO • Page 86 #5-11 Answers: • PL || AR • PA || LR • No parallel lines • PL || AR • No parallel lines • PL || AR • PA || LR
Homework • Page 87 #1-21, 24, 25 • 24 is a 4 step proof • 25 is a 3 step proof