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3.3 ll lines &amp; transv

# 3.3 ll lines &amp; transv - 3.3 ll Lines Transversals p...

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3.3 ll Lines & Transversals p. 143

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Post. 15 – Corresponding s Post. If 2  lines are cut by a transversal, then the pairs of corresponding s are 2245 . i.e. If l  m , then 1 2245 ∠ 2. l m 1 2
Thm 3.4 – Alt. Int. s Thm. If 2  lines are cut by a transversal, then the pairs of alternate interior s are 2245 . i.e. If l  m , then 1 2245 ∠ 2. l m 1 2

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Proof of Alt. Int. s Thm. Statements 1. l  m 1. 3 2245 2 2. 1 2245 3 3. 1 2245 2 Reasons 1. Given 2. Corresponding s post. 3. Vert. s Thm 1. 2245 is transitive l m 1 2 3
Thm 3.5 – Consecutive Int. s thm If 2  lines are cut by a transversal, then the pairs of consecutive int. s are supplementary. i.e. If l  m , then 1 & 2 are supp. l m 1 2

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Thm 3.6 – Alt. Ext. s Thm. If 2  lines are cut by a transversal, then the pairs of alternate exterior s are 2245 . i.e. If l  m , then

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3.3 ll lines &amp; transv - 3.3 ll Lines Transversals p...

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