2.6 Proving Statements about Angles

Mrs. Blanco Geometry

Standards/Objectives

Standard 3: Students will learn and apply geometric concepts.

Objectives:

• Use angle congruence properties

• Prove properties about special pairs of angles.

Investigation of Complementary Angles

Cont…

Theorem 2.2 Properties of Angle Congruence

2.6--Theorems

• Copy the Theorems from pages 110-112 onto your “List of Reasons”.

Example 1:

Ex. 1:

Statement:

1. m1 =63˚, 1 ≅ 3, 3≅ 4

2. 1 ≅ 4

3. m1 = m4

4. m4 = 63˚

Reason:

1. Given

2. Transitive prop.

3. Def. Cong. Angles

4. Substitution Prop.

Example 2:

Ex. 2:

Statement:1. AFC, BFD are

right angles; BFD≅CFE

2. AFC≅BFD 3. AFC≅CFE

Reason:

1. Given

2. Right Congurency

3. Transitive

Your Assignment:

• Pages 112-114

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#12-17

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