Lesson 2-8 Proof Review.

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Presentation transcript:

Lesson 2-8 Proof Review

Objectives Write proofs

Vocabulary No new vocabulary

Given: 4x – 14 = 2x + 16 Prove: x = 15 Statement Reason Geometric Proof Worksheet Given: 4x – 14 = 2x + 16 Prove: x = 15 Statement Reason 4x – 14 = 2x + 16 Given x = 15 Substitution

Definition of Congruence Given: AD  BE Prove: AB  DE A B C D E Statement Reason AD  BE Given Definition of Congruence AD = AB + BD BE = BD + DE AB + BD = BD + DE Substitution (lines 3 & 4 into 2) Subtraction AB = DE Substitution AB  DE

Given: 2 is complimentary to 1 3 is complimentary to 4 2  4 Prove: 1  3 4 2 3 1 Statement Reason 2  4 Given 2 is complimentary to 1 3 is complimentary to 4 Substitution (1 into 3) 1  3

Given: Two intersecting lines Prove: 1  3 2 1 3 4 (i.e., Prove the Vertical Angle Theorem!) Statement Reason Two intersecting lines Given 1  3

Summary & Homework Summary: Homework: study for Quiz Proofs are a step-by-step deductive reasoning approach to problem solving using definitions, theorems, postulates and givens. Homework: study for Quiz