1. Math Review
Equations 1. Solve for x. Explain each step in a proof. Graphing Equations 2. Graph the following equation. Angle Relationships 3. Angles 1 and 2 are vertical angles. Angles 2 and 3 are a linear pair. Angle 1 is 490. Find angle 3. Current Unit 4. What is the relationship between angles 1 and 2? 1 2

2. Section 3.2: Proof and Perpendicular Lines Objective: I will use the theorems associated with perpendicular lines to solve problems with perpendicular lines. I will use flow proofs to prove the theorems of perpendicular lines.
Geometry
12/2/2018

3. Proving Results about Perpendicular Lines
Theorem 3.1
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Do example 1 on page 129 g g h h
g  h
g  h
Geometry
12/2/2018

4. Proof of Theorem 3.1 Given: Prove: g is perpendicular to h g g h h
Do example 1 on page 129 g g h h
g  h
g  h
Geometry
12/2/2018

5. Proof of Theorem 3.1 g g h h g  h g  h Geometry 12/2/2018
Do example 1 on page 129 g g h h
g  h
g  h
Geometry
12/2/2018

6. Theorem 3.2
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Geometry
12/2/2018

7. Examples: Solve for x 1. x
60°
ANSWER: x = 90
x = 30

8. Guided Practice x
55°
ANSWER:

9. Guided Practice
27°
(2x-9)°
ANSWER:

10. Theorem 3.3
If two lines are perpendicular, then they intersect to form four right angles.
Geometry
12/2/2018

11. Assignment 3.2 Pg. 138-141 #4-6, 11-16, 18, 25, 29-32 Geometry
12/2/2018