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.

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Presentation transcript:

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

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

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

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

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

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

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

Guided Practice x 55° ANSWER:

Guided Practice 27° (2x-9)° ANSWER:

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

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

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