2.6 proving statements about angles
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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. - PowerPoint PPT PresentationTRANSCRIPT
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
#4-9
#12-17
#26,28
#33-37