# Unit 2: Congruence, Similarity, & Proofs

Unit 2: Congruence, Similarity, & Proofs Vocabulary Builder Vocabulary Builder Parallel Lines Same-Side Interior Angles Transversal Alternate Exterior Angles

Skew Lines Parallel Lines Plane Corresponding Angles Alternate Interior Angles Vocabulary Builder Congruent

Statement Congruent Segments Algebraic Equation Angle Measure Congruent Triangles Segment Measure Congruent Polygons Proof

Congruent Angles Vocabulary Builder Addition Property Division Property Transitive Property Symmetric Property Distributive

Property Subtraction Property Reflexive Property Multiplication Property Substitution Property Vocabulary Builder

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

Transitive Property BKC TES Daily Agenda 30 2.9 Introduction to Proofs Addition Property Division Property Distributive Property

Addition Property Division Property Symmetric Property Daily Agenda 2.9 Introduction to Proofs 4 = 16 + 4x Addition Property -12 = 4x

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

2.12 Prove Theorems about Parallelograms Alternate Interior Angles Reflexive Property ASA Congruence Daily Agenda 2.12 Prove Theorems about Parallelograms Daily Agenda

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