Homework 4 Parallel Line Proofs Answer Key Pdf Unit 3 Parallel amp Perpendicular Lines Homework KEY 9 Use the diagram below to answer the following questions a b c d e f Name a transversal
Final answer Parallel and perpendicular lines proofs involve using theorems and definitions to show that lines are either parallel or perpendicular Explanation Parallel lines are lines in the same plane that never intersect Perpendicular lines are lines that intersect and form right angles Section I Name the five ways to prove that parallel lines exist If two lines are cut by a transversal and corresponding angles are congruent then the lines are parallel If two lines are cut by a transversal and alternate interior exterior angles are congruent then the lines are parallel
Homework 4 Parallel Line Proofs Answer Key Pdf
Homework 4 Parallel Line Proofs Answer Key Pdf
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Solved Name Unit 7 Geometry Homework 4 Parallel Lines Chegg
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Chapter 4 Answer Key Reasoning and Proof CK 12 Geometry Honors Concepts 5 4 Statements Reasons Two parallel lines are cut by a transversal Given 3 5 Alternate interior angles are congruent if lines are parallel I 3 I 5 Two angles that are congruent have the same measure I 5 I 6 180 176 Two angles that form a straight line are Prentice Hall Gold Geometry Teaching Resources Copyright 169 by Pearson Education Inc or its affiliates All Rights Reserved 23 Name Class Date
You have already learned how to that certain angle pairs are congruent if you have parallel lines Now you will have to use the same logic to work backwards to prove that lines are parallel Use the following diagram for each proof 1 Given 1 8 Statements 2 Given 1 5 Prove m n 3 Given 2 6 Prove m n 4 Developing Proof Use the given information to determine which lines if any are parallel Justify each conclusion with a theorem or postulate 11 8 is supplementary to 9 12 7 gt 4 13 9 is supplementary to 12 14 9 gt 11 15 Error Analysis A classmate said that AB 6 DC based on the diagram at the right Explain your classmate s error
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Independent Practice PROOFS OF PARALLEL LINES NAME DATE PERIOD Geometry Unit 3 Reasoning amp Proofs w Congruent Triangles Page 167 For 1 3 given a b state the postulate or theorem that justifies each conclusion 1 1 is supplementary to 8 because given 2 Proving Parallel Lines Worksheet MATH MONKS 163 3 Given Zl Q Statements 2 clld Reasons Answers Given Ll Q all b Statements Ll Q allb clld Reasons Given 3 2 4 Given Vertical angles theorem Transitive property of congruence Converse of the corresponding angles theorem Alternate interior angles theorem Transitive property of congruence
Given c d Prove a b Geometry Trig Name Practice What two lines are parallel if any according to the given information If corresponding angles are congruent then lines are parallel If alternate interior angles are congruent then lines are parallel Section I Name the five ways to prove that parallel lines exist If two lines are cut by a transversal and the corresponding angles are congruent then the lines are parallel Show 1 pair of corresponding angles are congruent If two lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel
Unit 3 Parallel And Perpendicular Lines Answer Key Suggested And
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Homework 4 Parallel Line Proofs Answer Key Pdf - EXAMPLE 4 Given the following information determine which lines if any are parallel State the postulate or theorem that justifies your answer