Proving Lines Are Parallel Proofs Worksheet If two lines are cut by a transversal such that corresponding angles are congruent then the lines are parallel
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 Proving lines parallel worksheets have a variety of proving lines parallel problems that help students practice key concepts and build a rock solid foundation of the concepts These worksheets help students learn the converse of the parallel lines as well
Proving Lines Are Parallel Proofs Worksheet
Proving Lines Are Parallel Proofs Worksheet
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Triangle Congruence Theorems Worksheet
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Parallel Lines INB Pages Mrs E Teaches Math
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Looking to prove lines parallel like an expert These 7th grade worksheets are packed with challenges that turn complex proofs into a breeze Get ready to master parallel lines with ease 3 If lines are parallel then corresponding angles are congruent 4 Proof 1 Proof of Alternate Exterior Angles congruent Given l m Prove 1 3 Proof 2 Proof of Same Side Exterior Angles supplementary Given l m Prove 1 is supplementary to 3 Statements Reasons 1 2 180 3
Proving Lines Parallel 1 The Converse of the Corresponding Angles Postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent then the two lines are parallel Use the figure for Exercises 2 and 3 Given the information in each exercise state the reason why lines b and c are parallel Parallel Lines Proof Worksheet Name Write a 2 column or flow proof on your own paper 1 Given l m 2 4 2 Given l m 1 4 Prove 4 3 Prove 3 4 3 Given j k k l 4 Given j k k l Prove 1 3 Prove 1 6 5
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Proving Lines To Be Parallel Worksheets showing all 8 printables Worksheets are Find the measure of the indicated angle that makes lines u Honors Complete a twocolumn proof 2 1 If 2 lines are cut by transversal then corr angles are congruent 2 3 Transitive Property Prove l m If 2 lines are cut by a transversal and corr angles are then lines are parallel
This free geometry worksheet requires the use of the properties of parallel lines including the Alternate Interior Angle Theorem Corresponding Angles Theorem and the Same Side Interior Angle Theorem and their converses Problems include the completion proofs and finding the values of missing angles to make a pair of lines parallel Lines are parallel Use properties of parallel lines to solve real life problems such as proving that prehistoric mounds are parallel in Ex 19 Properties of parallel lines help you predict the paths of boats sailing into the wind as in Example 4 Why you should learn it GOAL 2 GOAL 1 What you should learn 3 4 R E A L L I F E POSTULATE 16
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Proving Lines Parallel Proofs Worksheet
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Proving Lines Are Parallel Proofs Worksheet - 3 If lines are parallel then corresponding angles are congruent 4 Proof 1 Proof of Alternate Exterior Angles congruent Given l m Prove 1 3 Proof 2 Proof of Same Side Exterior Angles supplementary Given l m Prove 1 is supplementary to 3 Statements Reasons 1 2 180 3