Geometry parallel lines proofs worksheet

4.9. (8) $1.50. PDF. There are 7 practice proofs for parallel lines, ranging in difficulty from 3 steps to 8 steps. The proofs also include practice with the Theorem "If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line."

Geometry parallel lines proofs worksheet. ANOTHER WAY. There are many ways to solve Example 1. Another way is to use the Corresponding Angles Theorem to fi nd m 5 and then use the Vertical ∠. Angles Congruence Theorem (Theorem 2.6) to fi nd m 4 and m 8. ∠ ∠. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

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16. Given lines p and q are parallel, find the value of x that makes each diagram true. a. b. q 17. Given lines p and q are parallel, find the value of x that makes each diagram true. a. b. q x = 18. Given lines m and n are parallel, find the value y of that makes each diagram true. a. b. 40º m n 130º yº (6x+5)º (2x+15)º p x = 40º m 130º ...Displaying all worksheets related to - Proofs Parallel Lines. Worksheets are Using parallel lines in proofs, Proofs with parallel lines, Honors geometry chapter 3 proofs involving parallel and, Parallel lines proof work, Parallel lines and transversals work write all the, 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Unit 4 triangles part 1 geometry smart packet. Pairs of Angles. When parallel lines get crossed by another line (which is called a Transversal ), you can see that many angles are the same, as in this example: These angles can be made into pairs of angles which have special names. Click on each name to see it highlighted: Now play with it here. Try dragging the points, and choosing different ... Math Practice. Construct Arguments. When the converse of one of the statements is true, what can you conclude about the inverse? Learning Target Success Criteria. GO …Geometry unit 3 parallel lines solving equations worksheetParallel lines worksheet proving unit lesson followers Parallel geometry line wikipedia transversalParallel angles lines worksheet geometry. Parallel perpendicular angles worksheet formed corresponding plzzParallel lines proofs practice worksheet for 8th …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. To prove ...because if one pair of opposite sides of a quadrilateral are both congruent and parallel, the quadrilateral is a parallelogram. AE ≅ CE because the diagonals of a parallelogram bisect each other.

Mathster keyboard_arrow_up. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Worksheet Name. 1. 2. 3. Graphs - Parallel Lines. 1.Proving Lines are Parallel. Students learn the converse of the parallel line postulate. 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 angles are congruent, then the lines are parallel. If two lines are cut by a transversal ...Learning how to parallel park with confidence is critical to successful driving, particularly in urban areas where parking along congested streets is common. Before attempting to p...THE (ULTIMATE) GEOMETRY REVIEW SHEET...WITH COMMON CORE GOODNESS. (2016 Edition) Some General Information. The Common Core Regents Exam Basics: Time: 3 hours Problems: 36. Part I: 24 multiple choice problems (2 pts each) = 48 pts Part II: 7 short answer problems (2 pts each) = 14 pts Part III: 3 short answer problems (4 pts each) = 12 pts Part ... Imho the videos (actually there are more of them but they all resort to the same reasoning) about transversals and the ones about the sum of the angles inside a triangle are not consistent because they are circular reasoning : the "sum of angles in a triangle" starts from alleged proof of "angles in parallel lines and transversals", while these video's don't prove anything (it's taken for ...

This geometry video tutorial explains how to prove parallel lines using two column proofs. This video contains plenty of examples and practice problems for ...Name: Level 2 Further Maths Ensure you have: Pencil or pen Guidance 1. Read each question carefully before you begin answering it. 2. Check your answers seem right.Proofs parallel lines worksheet geometry worksheetsParallel proofs lines proof perpendicular practice two column quiz preview Proofs with parallel & perpendicular linesGeometry proof practice with parallel lines cut by transversals. Parallel line proofs by kim talludGeometry proofs worksheets .Below are two parallel lines with a third line intersecting them. 81 ∘ x ∘. x = ∘. Do 7 problems. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.Essential Question. For which of the theorems involving parallel lines and transversals is the converse true? Exploring Converses. Work with a partner. Write the converse of …Parallel parking is one of the toughest parts of driving a tractor trailer. Even so, when you choose to parallel park it is often the only option to get your vehicle out of the roa...

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The symbol ∥ means “is parallel to.”. When a line intersects two or more lines, the angles formed at the intersection points create special angle pairs. A transversal is a line that intersects two or more coplanar lines at distinct points. The special angle pairs formed by parallel lines and a transversal are congruent, supplementary, or ...Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a transversal, through a pair o... Created Date: 1/26/2014 2:23:54 PM Unit test. Level up on all the skills in this unit and collect up to 1,900 Mastery points! In this topic, we'll learn about special angles, such as angles between intersecting lines and triangle angles. Next, we'll learn about the Pythagorean theorem. Finally, we'll find volume of curved 3D shapes like spheres, cones, and cylinders.Infinite Geometry covers all typical Geometry material, beginning with a review of important Algebra 1 concepts and going through transformations. There are over 85 topics in all, from multi-step equations to constructions. Suitable for any class with geometry content. Designed for all levels of learners, from remedial to advanced. Topics.When two lines are intersecting 7. Definition of an angle bisector Results in two angles being congruent 3. Right Angles are Congruent When you are given right triangles and/or a square/ rectangle 8. Definition of a perpendicular bisector Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent

5-8 Parallel Lines in Triangle Proofs: HW. 1.) Given: 𝑀 ̅̅̅̅̅ and 𝐻 ̅̅̅̅ intersect at B, 𝑀 ̅̅̅̅̅||𝐻 ̅̅̅̅, and 𝑀 ̅̅̅̅̅ bisects 𝐻 ̅̅̅̅ Prove: 𝑀 ̅̅̅̅̅≅𝐻 ̅̅̅̅ 2.) In the diagram below, four pairs of triangles are shown. Congruent corresponding parts are labeled inMicrosoft PowerPoint slides can embed worksheets that access all the functions of an Excel spreadsheet. The slide doesn't have to display all of the worksheet's rows and columns. F...Proving Lines Parallel Vertical angles are . NMP QPR QPR PRQ NMP Transitive Property of Congruence PRQ If 2 lines are cut by a transversal such that alt. int. ’s are , the lines are ǁ. m C + m D = 180° If 2 lines are cut by a transversal such that …Worksheets are Parallel lines and proofs, 3 parallel lines and transversals, , Work section 3 2 angles and parallel lines, Parallel lines cut by a transversal, Parallel lines transversals work, Parallel lines transversals 8th grade geometry work, Sections proving lines then we can state. *Click on Open button to open and print to worksheet.Definitions, Postulates and Theorems. Page 5 of 11. Triangle Postulates And Theorems Name Definition Visual Clue. Angle-Angle (AA) Similarity Postulate If two angles of one triangle are equal in measure to two angles of another triangle, then the two triangles are similar. Side-side-side (SSS) Similarity Theorem If the three sides of one ...The first one focuses on angles, the second on lines and angles. The third one puts it all together. Homework 1 - We can see that ∠ABD and ∠CBD form a linear pair, so they are supplementary to each other. Homework 2 - Vertical angles are equal is the lead here. Homework 3 - Knowing that two lines are parallel, you can learn a lot.If you're working out your first ever budget, or you just want an easy to read template, these beginner printable budget worksheet options will get you started. If you buy somethin...Parallel provides the same types of services a school district or parent has used in the past, just in a telehealth setting. If a kid is having trouble at school, one of the standa...Worksheets are Proofs with perpendicular lines, Honors geometry chapter 3 proofs involving parallel and, Geometry beginning proofs packet 1, Parallel and perpendicular lines, Geometry proofs and postulates work, Geometry proof practice answers, Math work, Chapter 3 parallel and perpendicular lines. *Click on Open button to open and …Displaying all worksheets related to - Parallel Line Proofs. Worksheets are Parallel lines, Using parallel lines in proofs, Honors geometry chapter 3 proofs involving parallel and, Work section 3 2 angles and parallel lines, Chapter 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Geometry proofs and postulates work, Geometry chapter 2 reasoning and proof. Flip. Space. Created by. d_getman. vocab for proof and parallel lines. vocab for proof and parallel lines Learn with flashcards, games, and more — for free.

2_test_honors.tst. Download File. 3.1_pairs_of_lines_and_angles.pdf. Download File. 3.2_parallel_lines_and_transversals.pdf.

Triangle And Parallel Lines. Displaying all worksheets related to - Triangle And Parallel Lines. Worksheets are 7 proportional parts in triangles and parallel lines, Name geometry unit 2 note packet triangle proofs, Geometry part 1 lines and angles, Ms work 132 153 geometry 06, Parallel lines parallel, Proving lines parallel, Parallel ... of two parallel lines, then it is perpendicular to the other line. If h k and j ⊥ h, then j ⊥ k. Proof Example 2, p. 150; Question 2, p. 150 Theorem 3.12 Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. If m ⊥ p and n ⊥ p, then m n.Geometry Proofs Worksheets | Parallel Lines and Proofs Check Details Parallel lines cut by a transversal practice worksheet. Parallel proofs lineWorksheet parallel proofs lines geometry worksheets answers math teaching practice classroom mrs teaches activity math2 puns teacher choose board cut Proving lines parallel …Results in 2 congruent segments and right angles. 4. Alternate Interior Angles of Parallel Lines are congruent. When the givens inform you that two lines are parallel. 9. 3rd angle theorem. If 2 angles of a triangle are to 2 angles of another triangle, then the 3rd angles are . 5. Definition of a segment bisector.Proving lines parallel worksheets are a great resource for students to practice a large variety of parallel lines questions and problems. These math worksheets are supported …The Proof Process 1. Write the conjecture to be proven. 2. Draw a diagram if one is not provided. 3. State the given information and mark it on the diagram. 4. State the conclusion of the conjecture in terms of the diagram. 5. Plan your argument and prove your conjecture. Mark the diagram and answer the questions about the following proof.Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent ... Geometry Applications : EXAMPLE: Ifquadfi1atera1PLAY has angles P: 59 degrees L: 37 degrees A: 143 degrees Y: 121 degrees Which sides are parallel? Sketch the figure. Proofs Parallel Lines - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Using parallel lines in proofs, Proofs with parallel lines, Honors geometry chapter 3 proofs involving parallel and, Parallel lines proof work, Parallel lines and transversals work write all the, 3 parallel and perpendicular lines, Geometry beginning proofs packet 1, Unit 4 ...

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In geometry, parallel lines are the lines that do not meet in a plane. Two straight lines are said to be parallel if they do not intersect at any point in a plane. If two lines have a third …These geometry worksheets are a good resource for children in the 5th Grade through the 10th Grade. Parallel and Perpendicular Lines Worksheets This section contains all of the graphic previews for the Parallel and Perpendicular Lines Worksheets.Proving Lines Parallel Vertical angles are . NMP QPR QPR PRQ NMP Transitive Property of Congruence PRQ If 2 lines are cut by a transversal such that alt. int. ’s are , the lines are ǁ. m C + m D = 180° If 2 lines are cut by a transversal such that …the lines are parallel. Proof Ex. 11, p. 142 Theorem 3.8 Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. Proof Ex. 12, p. 142 k 5 4 j k j 1 8 k 3 j 5 j k j k If ∠3 and ∠5 are supplementary, then j k. Constructing Parallel LinesFor this, we must use the converses of our “precious” theorems: Theorem: If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then its opposite angles are congruent. Converse: Proving Lines Parallel Vertical angles are . NMP QPR QPR PRQ NMP Transitive Property of Congruence PRQ If 2 lines are cut by a transversal such that alt. int. ’s are , the lines are ǁ. m C + m D = 180° If 2 lines are cut by a transversal such that cons. int. ’s are supp., the lines are ǁ. Triangle And Parallel Lines. Displaying all worksheets related to - Triangle And Parallel Lines. Worksheets are 7 proportional parts in triangles and parallel lines, Name geometry unit 2 note packet triangle proofs, Geometry part 1 lines and angles, Ms work 132 153 geometry 06, Parallel lines parallel, Proving lines parallel, Parallel ... So, it’s time to ask: How might history remember this man? So, it’s time to ask: How might history remember this man? He made his name in one of America’s most important industries...This is part of our collection of Short Problems. You may also be interested in our longer problems on Angles, Polygons and Geometrical Proof Age 11-14 and Age 14-16. Printable worksheets containing selections of these problems are available here: Stage 3 … Created Date: 1/26/2014 2:23:54 PM ….

STANDARD G.CO.C.9. GEO. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. The Proof Process 1. Write the conjecture to be proven. 2. Draw a diagram if one is not provided. 3. State the given information and mark it on the diagram. 4. State the conclusion of the conjecture in terms of the diagram. 5. Plan your argument and prove your conjecture. Mark the diagram and answer the questions about the following proof.ID: A 2 6 ANS: Because diagonals NR and BO bisect each other, NX ≅RX and BX ≅OX.∠BXN and ∠OXR are congruent vertical angles. Therefore BNX ≅ ORX by SAS. REF: 080731b 7 ANS: Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given).AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are …Dec 23, 2017 · This geometry video tutorial explains how to prove parallel lines using two column proofs. This video contains plenty of examples and practice problems for ... Lines and angles worksheets are perfect for students to learn and practice various problems about different angle concepts and situations. These worksheets are a great resource for students who wish to grow and improve their skills in angles. Lines and angles worksheets consist of concepts like naming angles, lines, classifying angles ...©e Z2t0 h1Z1 k qK UuNtraS ZSZo HfRtqw na cr 6e5 eL KLSC Z.C U 3ASl1lL Qr3i Rguh Nt2s E srIe Ys0e Ir XvYePd2. 7 Z xMkakdJe O lw aiItWh9 tI xnvf 9iCnxi Gtne s LGKecoTmTeZt hrxy G.0 Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Parallel Lines and Transversals Date_____ Period____About this worksheet. Tweet. In this worksheet, students complete two geometry proofs. In each proof, students must prove that two lines cut by a transversal are parallel. This worksheet is designed for high school students. Get Worksheet. Topics: Angles, Geometry. Grades: High School.Lines parallel perpendicular intersecting worksheets type sheet answer mathworksheets4kids mcqWorksheet parallel lines transversal worksheets answers angles cut geometry transversals key cpctc proofs perpendicular formed guo ning triangle congruence elegant Lines parallel worksheet proving answers unit lesson math chessmuseumUnit 3 lesson 3 ... Geometry parallel lines proofs worksheet, The converse in geometry applies to a conditional statement. In a conditional statement, the words “if” and “then” are used to show assumptions and conclusions that are to be arriv..., 4.9. (4) $3.00. Word Document File. Worksheet for writing two-column proofs for proving relationships between angles formed by parallel lines and transversals and for proving lines are parallel. Subjects: Geometry, Math. Grades: 8th - 10th., Angles, parallel lines, & transversals. Parallel lines are lines in the same plane that go in the same direction and never intersect. When a third line, called a transversal, crosses these parallel lines, it creates angles. Some angles are equal, like vertical angles (opposite angles) and corresponding angles (same position at each intersection)., If 2 ǁ lines are cut by a transversal, Key Parallel Lines and Proofs corresp. ’s are . Definition of ’s 2 and 3 are a linear pair. m 2 + m 3 = 180° Substitution Prop. of Equality If 2 ǁ lines are cut by a transversal, alt. int. ’s are . 4 1 1 2 Transitive Property of Congruence, YZ WZ. ≅. 6. Choose a reason from this list: Definition of angle bisector Definition of congruent triangles or CPCTC Given Given Reflexive property of congruence Side-Angle-Side congruence. Lesson Plan: Different Methods of Proof Page 1. 2. Mark the given information on the diagram. Give a reason for each step in the two-column proof., Ideally 0 ≤ x ≤ 10. parallel, could. No, that would make the angles 189° and 206°. Create your own worksheets like this one with Infinite Geometry. Free trial available at …, Proving Parallel Lines Worksheet MATH MONKS O Prove the lines c and d are parallel. 13 Given: Zl = Q Statements Reasons Given: Ll = Q, all b Statements Reasons 3 …, Parallel lines are seen in many common 2D shapes. For example, Each side of a square is made of a line segment that is part of a line. The opposite sides of a square are parallel. There are also many examples of parallel lines in real life. For example, The lines that pass by the sides of a table top are parallel., 25) Fill in the blank so that the lines are not parallel: Line A goes through Line B goes through----- -----( , ) and ( , ) ( , ) and ( , ) Anything but 26) Write the equations of five lines that are parallel to y x Many answers. Ex: y x -2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com, Steps for Completing Proofs Involving Congruent Triangles with Parallel or Perpendicular Segments. Step 1: Analyze the provided image and walk through the given steps and reasons. Make sure the ..., 136 Chapter 3 Parallel and Perpendicular Lines Proving Theorems about Parallel Lines EXAMPLE 2 oving the Alternate Pr Interior Angles Converse Prove that if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. SOLUTION Given ∠4 ≅ ∠5 Prove g h STATEMENTS REASONS 1. ∠4 ≅ 5 1 ..., Two Column Proofs. Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. Before beginning a two column proof, start by working backwards from the “prove” or “show” statement. The reason column will typically include “given”, vocabulary definitions, conjectures, and ..., Geometry Proofs. For Students 10th. In this geometry proofs worksheet, 10th graders solve and complete 6 different problems that include various proofs. First, they prove a triangle has equivalent angles as given. Then, students prove …, Section 3.3 Proving Lines Parallel. G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;, When we feel love and kindness toward others it not only makes others feel loved and cared for, it helps us al When we feel love and kindness toward others it not only makes others..., The following proof of Theorem 3-12 relies on the idea that through a point not on a given line you can draw a line parallel to the given line. Proof of Theorem 3-12 Given: #ABC Prove: m&A + m&B + m&3 = 180 Proof: By the Protractor Postulate, you can draw so that m&1 = m&A.Then, &1 and &A are congruent alternate interior angles, so 6 ., Notes: PROOFS OF PARALLEL LINES Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 164 EXAMPLE 2: Given: r ‖s m ‖ l Prove: m 5 + m 11 = 180° Fill in any missing statements or reasons to complete the proof. Statements Reasons 1. 1. Given 2. 5 & 9 are supplementary. 2. 3. 3. Definition of supplementary angles 4. 4. 5. 5., Unit test. Test your understanding of Congruence with these NaN questions. Start test. Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms., In geometry, dilation is the resizing of an object. With dilation, the angles remain the same, but the distance between points increases or decreases by a common scale factor. In d..., ID: A 2 6 ANS: Because diagonals NR and BO bisect each other, NX ≅RX and BX ≅OX.∠BXN and ∠OXR are congruent vertical angles. Therefore BNX ≅ ORX by SAS. REF: 080731b 7 ANS: Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given).AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are …, Pre-made digital activities. Add highlights, virtual manipulatives, and more., Linear equations are generally described by the slope-intercept represented by the equation y = m x + b. Where “m” is the slope, “b” is the y-intercept, and y and x are variables. The value of “m” determines the slope and indicates the steep slope of the line. Note that the slopes of the two parallel lines are always the same., Use converse of theorems to prove the lines are parallel. Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher., of two parallel lines, then it is perpendicular to the other line. If h k and j ⊥ h, then j ⊥ k. Proof Example 2, p. 150; Question 2, p. 150 Theorem 3.12 Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. If m ⊥ p and n ⊥ p, then m n., 5-8 Parallel Lines in Triangle Proofs: HW. 1.) Given: 𝑀 ̅̅̅̅̅ and 𝐻 ̅̅̅̅ intersect at B, 𝑀 ̅̅̅̅̅||𝐻 ̅̅̅̅, and 𝑀 ̅̅̅̅̅ bisects 𝐻 ̅̅̅̅ Prove: 𝑀 ̅̅̅̅̅≅𝐻 ̅̅̅̅ 2.) In the diagram below, four pairs of triangles are shown. Congruent corresponding parts are labeled in, Click here for Answers. . alternate, corresponding, co-interior. Practice Questions. Previous: Average Rate of Change Video. Next: Angles in Polygons Practice Questions. The Corbettmaths Practice Questions on Angles in Parallel Lines., Parallel, Perpendicular and Intersecting Lines Worksheets. This module deals with parallel, perpendicular and intersecting lines. A variety of pdf exercises and word problems will help improve the skills of students in grade 3 through grade 8 to identify and differentiate between parallel, perpendicular and intersecting lines., Name: Level 2 Further Maths Ensure you have: Pencil or pen Guidance 1. Read each question carefully before you begin answering it. 2. Check your answers seem right., Parallel lines proving geometryParallel line proofs by kim tallud Geometry 2-2: proving lines parallelParallel proofs lesson. Geometry parallel lines proofs proof mathbitsnotebook practice involvingParallel lines proof geometry math them Parallel proofs line anglesParallel proofs lines. Check Details. Parallel lines proofs …, Steps for Completing Proofs Involving Congruent Triangles with Parallel or Perpendicular Segments. Step 1: Analyze the provided image and walk through the given steps and reasons. Make sure the ..., Parallel line proofsConverse parallel line proofsIncludes:- modified proofs with either the statements or reasons missing.- modified proofs with reasons missing- complete proofs with reasonsCongruent Triangle Proofs© 2018 Yevgeniy Sidorevich, "Pi Classroom"Products by Yevgeniy Sidorevich (Pi Classro... , Lines Postulates And Theorems Name Definition Visual Clue. Postulate Through a point not on a given line, there is one and only one line parallel to the given line. Alternate Interior Angles Theorem If two parallel lines are intersected by a transversal, then alternate interior angles are equal in measure., 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