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3.5 Using props of ll lines

# 3.5 Using props of ll lines - • In a plane if 2 lines are...

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3.5 Using Properties of 3.5 Using Properties of   Lines Lines p. 157 p. 157

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Theorem 3.11 If 2 lines are  to the same line, then they are  to each other. If l  m and n  m, then l  n. l m n
Proof of thm. 3.11 Statements 1. l  m, n  m 1. 1 2245 2, 2 2245 3 2. 1 2245 3 1. l  n Reasons 1. Given 2. Corresponding s post 3. Trans. Prop. of 2245 4. Corresponding s Converse l m n 1 2 3 * It is necessary to add an auxiliary line t to the diagram for proof purposes. t

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Unformatted text preview: • In a plane, if 2 lines are ⊥ to the same line, then they are to each other. • If l ⊥ t and m ⊥ t, then l m Theorem 3.12 l m t 1 2 * ∠ 1 & ∠ 2 added for proof purposes. Proof of thm. 3.12 Statements 1. l ⊥ t , m ⊥ t 1. ∠ 1 is a rt. ∠ , ∠ 2 is a rt. ∠ 3. ∠ 1 2245 ∠ 2 4. l m Reasons 1. Given 2. Def. of ⊥ lines 1. Rt. ∠ 2245 thm 2. Corresp. ∠ s converse Assignment Assignment...
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3.5 Using props of ll lines - • In a plane if 2 lines are...

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