Chapter 3 Parallel and Perpendicular Lines

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Presentation transcript:

Chapter 3 Parallel and Perpendicular Lines 3.6.1 Prove Theorems About Perpendicular Lines SWBAT: 1) Prove and use theorems about perpendiculars to solve problems. 2) Prove lines perpendicular. 3) Find angle measure using theorems about perpendiculars.

Perpendicular Line Theorems If two lines intersect to from a linear pair of congruent angles, then the two lines are perpendicular What does linear pair mean? If they are congruent what measure must they be? Ex. If 1  2 then g  h h 2 1 g

Perpendicular Line Theorems If two lines are perpendicular, then they intersect to form four right angles. If g  h then 1, 2, 3, and 4 are right angles g 1 2 4 h 3

Perpendicular Line Theorems If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. If BA  BC, then 1 and 2 are complementary A 1 2 C B

Check Point 1) Given that ABC  ABD what can you conclude about 3 and 4? A 3 4 C B D

Homework P. 194 2 – 7, 15 – 17, 26, 35 – 38, 41

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