1. 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.

2. 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

3. 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

4. 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

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

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