Vertical Angles Theorem All right angles are congruent Congruent Complements Theorem Congruent Supplements Theorem
If two angles are congruent and supplementary, then each is a right angle Unit 2: Congruence, Similarity, & Proofs 2.8 Parallel Lines and Transversals 2.8 Parallel Lines and Transversals Transversal Lie between the two
lines On opposite sides of the transversal On same side of the transversal Lie outside the two lines On opposite sides of the transversal 1, 2, 5, 6 1 and 6, 2 and 5
1 and 5, 2 and 6 3, 4, 7, 8 1 and 6, 2 and 5 Daily Agenda 2.8 Parallel Lines and Transversals Daily Agenda Daily Agenda Vertical Alternat
e Interior Vertical Alternate Exterior Vertical Vertical Consecutiv e Interior Alternat e Consecutiv Exterior
e Interior Alternate Exterior Consecutive Interior Interior Alternate Daily Agenda 45 Vertical angles are congruent
135 Consecutive interior angles are supplementary 45 Alternate Interior angles are congruent 135 Linear pairs
are supplementary 2.8 Parallel Lines and Transversals Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Supplementary Consecutive
Daily Agenda ______ 40 ______ 35 140 _ 140 _
140 140 40 __ 80 _ 65 100
115 65 100 65 __ 80 ______
78 115 80 40 __ __ ______ 65
______ 102 _ __ __ 102 102 78 _ 102
78 78 102 102 78 102 __ __
102 78 Daily Agenda 2.8 Parallel Lines and Transversals Daily Agenda 2.8 Parallel Lines and Transversals Daily Agenda
Daily Agenda Unit 2: Similarity, Congruence, and Proofs Unit 2: Congruence, Similarity, & Proofs 2.9 Introduction to Proofs 2.9 Introduction to Proofs Daily Agenda proof theorem
definition Mathematical property reasons postulat eUndefined terms statement s given prove given
theorem 2.9 Introduction to Proofs If a = b, then a + c = b + c If a = b, then a c = b c If a = b, then a c = b c If a = b, and c 0, then a (b + c) = ab + ac a=a If a = b and b = c, then a = c If a = b, then b = a If a = b, the b can replace a in any expression If a + (b + c) = (a + b) + c
If a + b = b + a Daily Agenda 2.9 Introduction to Proofs Daily Agenda Transitive Property Subtraction Property Reflexive Property
Multiplication Property TRS 2 + BC 2.9 Introduction to Proofs Symmetric Property Substitution Property Subtraction Property
Subtraction Property -3 = x Division Property Daily Agenda 2.9 Introduction to Proofs Daily Agenda 2.9 Introduction to Proofs
Daily Agenda Unit 2: Congruence, Similarity, & Proofs 2.10 Prove Theorems about Lines and Angles 2.10 Prove Theorems about Lines and Angles Daily Agenda 2.10 Prove Theorems about Lines and Angles Given Definition of congruent segments
Reflexive Property Segment Addition Postulate Segment Addition Postulate Substitution Property Definition of congruent segments Daily Agenda 2.10 Prove Theorems about Lines and Angles Given Definition of Linear Pair Linear Pair Theorem Definition of supplementary
angles Substitution Property Subtraction Property Daily Agenda 2.10 Prove Theorems about Lines and Angles Given Definition of Linear Pair Definition of opposite rays Angle Addition Postulate Substitution Property Subtraction Property
Given Alternate Interior Vertical Angles Substitution Property Theorem Daily Agenda 2.10 Prove Theorems about Lines and Angles Daily Agenda Unit 2: Congruence,
Similarity, & Proofs 2.11 Prove Theorems about Triangles 2.11 Prove Theorems about Triangles CPCTC Reflexive Property SSS Congruence Vertical Angles SAS Congruence Theorem
Daily Agenda 2.11 Prove Theorems about Triangles Given Given Alternate Interior Angles Reflexive Property SAS Congruence Daily Agenda 2.11 Prove Theorems about Triangles
Vertical Angles SAS Congruence Theorem Isosceles Triangle
HL Congruence Theorem Daily Agenda 2.11 Prove Theorems about Triangles Given
Given Vertical Angles Theorem SAS Congruence Given Alternate Interior Angles Given Vertical Angles Theorem
ASA Congruence Daily Agenda 2.11 Prove Theorems about Triangles Daily Agenda Unit 2: Congruence, Similarity, & Proofs 2.12 Prove Theorems about Parallelograms 2.12 Prove Theorems about Parallelograms
Alternate Interior Angles Reflexive Property AAS Congruence Given Def. of parallelogram Alternate Interior Reflexive Property CPCTC Daily Agenda
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