3.6 Prove Theorems about ⊥Lines

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Presentation transcript:

3.6 Prove Theorems about ⊥Lines Mrs. vazquez Geometry

g.co.9 Essential Question: How can we prove two lines are ⊥? Objective: Students will be able to find the distance between a point and a line.

Theorems 3.8 If two lines intersect to form a linear pair of ≅ ∡s, then the lines are ⊥. 3.9 If two lines are ⊥, then they intersect to form four ∟s.

What can you conclude? AB ⊥ BC What can you conclude about ∡1 & ∡2? A 1 2 D B C

Theorem 3.10 If two sides of two adjacent acute ∡s are ⊥, then the ∡s are complementary. If BA ⊥ BC, then ∡1 & ∡2 are complementary. A 1 2 B C

⊥ Transversal Theorem 3.11 If a transversal is ⊥ to one of two || lines, then it is ⊥ to the other.

Lines ⊥ to a Transversal Theorem 3.12 In a plane, if two lines are ⊥ to the same line, then they are || to each other.

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