Proving Parallel Lines Worksheet Answers

Proving Parallel Lines Worksheet Answers Proving Lines Parallel Date Period Find the measure of the indicated angle that makes lines u and v parallel sAql Tlh rdi 5g 7hnt Cs3 1rre rs ke fr ivYeod4 4 G lM la5dFeV mwaiZtSh i EITn kfOiin biUt fe1 1GHepo lm 8ent Pr3y t y Worksheet by Kuta Software LLC Kuta Software Infinite Geometry Name Proving Lines Parallel Date

Proving Lines Parallel d n e corr angles AC n BD corr angles t n u alt ext angles b n e corr angles l2 and l3 are suppl Given suppl to the same l are O Vert are O l1 Ol4 If corresp are O lines are n The top two lines are parallel because l1 Ol2 and they are alt int The angle vertical to l2 is suppl to l3 Because 45 Proving Lines Parallel 12 20 80 80 5 60 60 16 43 21 You can t prove that AB n DC with the information given because the congruent angles aren t formed by the same transversal x n y Converse of Same Side Int Post x n y Converse Of Alt Ext Thm s n t Converse Of Alt Int Thm s n t Converse of Same Side Int Post

Proving Parallel Lines Worksheet Answers

Proving Parallel Lines Worksheet Answers

Proving Parallel Lines Worksheet Answers
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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 n Part 1 Mini Proofs Proving Lines are Parallel in 2 Steps 1 Given 1 8 Prove m n 2 Given 1 5 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

3 3 Proving Lines Parallel Find the value of x that makes lines u and v parallel 1 u v 22 x 5 c z fA3l mlO 2r LiAgDh2t8s D ArIe7szeUrnvBeodu 0 d hM ea9d Eey UwTiHtJh D CIFn Sfqi nPift XeV LG Je LoZm 8e RtKrny H s Worksheet by Kuta Software LLC 17 u v 9 x 7 11 x 7 18 u v 12 Two lines that lie in parallel planes are skew 13 If two parallel lines are cut by a transversal same side interior angles are q S supplementary 14 If two parallel planes are cut by a third plane then the lines of intersection are a S parallel In Exercises 15 20 use the given information to name the segments that must be parallel

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22 AB is parallel to DE mL w 135 176 and mL z 147 176 Find m L BCD 8 A 183 f D E 23 Point R is not in plane ABC a How many lines through R are perpendicular to plane ABC I b How many lines through R are parallel to plane ABC n 1 l c How many planes through Rare parallel to plane ABC b 24 In the diagram to the right e 3 2 Proving Lines Parallel Objective To use a transversal in proving lines parallel Reminder Assignment Worksheet Find the values of x y and z 3 2 Prove Lines Parallel 4 Sep 29 173 3 16 PM Change 10 on practice to match this Title 3 2 Prove Lines Parallel Subject

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 Math worksheets can be downloaded with answers and solutions for a better understanding Give your child a boost by using our Math worksheets Grade KG 1st 2nd 3rd 4th 5th 6th 7th 8th Algebra 1 Algebra 2 Download Proving Lines Parallel Worksheet PDFs These math worksheets should be practiced regularly and are free to download

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Proving Parallel Lines Worksheet Answers - 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