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Section 3.6 – Prove Theorems About Perpendicular Lines

HW #17 pg. 194 #5-7, 15-17, 21, 26, 29. Section 3.6 – Prove Theorems About Perpendicular Lines . Theorems . Theorem 3.8 If two lines intersect to form two congruent angles that are a linear pair, then the lines must be perpendicular Theorem 3.9

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Section 3.6 – Prove Theorems About Perpendicular Lines

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  1. HW #17 pg. 194 #5-7, 15-17, 21, 26, 29 Section 3.6 – Prove Theorems About Perpendicular Lines

  2. Theorems • Theorem 3.8 • If two lines intersect to form two congruent angles that are a linear pair, then the lines must be perpendicular • Theorem 3.9 • If two lines are perpendicular, then they intersect to form 4 right angles

  3. Theorems • Theorem 3.10 • If the sides of two adjacent acute angles are perpendicular, then the angles are complementary • Theorem 3.11 • If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other

  4. Theorems • Theorem 3.12 • In a plane, if two lines are perpendicular to the same line, then they are parallel.

  5. Example

  6. Example

  7. Distances • Distance from a point to a line • The length of the perpendicular segment from the point to the line • Distance between two parallel lines • The length of any perpendicular segment joining those two lines

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