proving lines are parallel quiz

To prove this theorem using contradiction, assume that the two lines are not parallel, and show that the corresponding angles cannot be congruent. Create a transversal using any existing pair of parallel lines, by using a straightedge to draw a transversal across the two lines, like this: Proving Lines are Parallel. Preview this quiz on Quizizz. Ext. 312 times. If the corresponding angles are congruent, then the lines are parallel. HW: Review worksheet. Int. 3 years ago. By its converse: if ∠3 ≅ ∠7. ",#(7),01444'9=82. 5 0 obj If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. s Thm. 71% average accuracy. stream Intersect. HW: 3-4 worksheet odds & proofs #6,7,13,16. 3-3 Proving Lines Parallel Lesson Quiz: Part I Name the postulate or theorem that proves p || r. 1. Start studying Proving Lines Parallel. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. Must get 80/100 to get credit. endobj karlpeters. Services, Constructing a Parallel Line Using a Point Not on the Given Line, Quiz & Worksheet - Proving Lines Are Parallel with Converse Statements, Using Converse Statements to Prove Lines Are Parallel, {{courseNav.course.mDynamicIntFields.lessonCount}}, Parallel Lines: How to Prove Lines Are Parallel, The Parallel Postulate: Definition & Examples, What Are Polygons? MATHEMATICAL PRACTICES Activity 1 Construct a line and label two points on the line A and B. From this postulate, we then prove the theorem "If two parallel lines are cut by a transversal, the alternate interior angles are congruent." by kcoffman91. XOZec;Ak�A��KUk.�~��|{�^-��N[M z�^r��L�ǜ�|�'"���S��ۧ�r��Llk�ԑ�v����͖�qUp�j9�xg0c(H媀�X!� O9\@���H ���@�M@X��F�Vu���,��۪7S����@���az�$5O��p���ɝ�@�.�����㌻�tog�7u_��� [$���(��aHzJ@���P�V�� kcoffman91. Class Page for Mr. Graves. Played 245 times. 3.1 skew, parallel, perpendicular Angle relationships Created with That Quiz — the math test generation site with resources for other subject areas. x�3;{���\��$��>�>��_R;mi����V�,9�SS�|X���9;3Ƿ�͛㛳�s�NN�������(��R Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0-13328-115-6, Publisher: Prentice Hall of Alt. ���� JFIF ` ` �� NExif MM * >Q Q �Q � �� ���� C © copyright 2003-2021 Study.com. About This Quiz & Worksheet Parallel lines are equidistant from one another and will never intersect. 0. Students learn the converse of the parallel line postulate and the converse of each of the theorems covered in the previous lesson, which are as follows. If the alternate exterior angles are congruent, then the lines are parallel. <> If the interior angles on the same side of the transversal are supplementary, then the lines are parallel. Which could be used to prove the lines are parallel? Create your account to access this entire worksheet, A Premium account gives you access to all lesson, practice exams, quizzes & worksheets, High School Geometry: Parallel Lines and Polygons. a year ago. Proving Lines Parallel. 0. All rights reserved. I can find the slope of a line (graph, points, equations) 6. 2x +5 =27 11 2. Which pair of angles must be supplementary so that r is parallel to s? Learn vocabulary, terms, and more with flashcards, games, and other study tools. Mathematics. The Parallel Postulate guarantees that for any line ℓ, you can always construct a parallel line through a point that is not on ℓ. Mathematics. Proving Lines Parallel DRAFT. 2 0 obj Those eight angles can be sorted out into pairs. 3-4 Proving Lines Parallel. Quiz 3 2 Proving Lines Are Parallel - Displaying top 8 worksheets found for this concept.. of Corr. Biological and Biomedical Monday 10/21. The angles formed by a transverse line and two parallel lines have very specific properties. 11) u v 16 x − 6 6 12) u v 12 x − 4 10 x + 10 7 13) u v 105 ° x + 112 −7 14) u v 19 x − 4 110 ° 6 15) u v 11 x − 2 130 ° 12 16) u v 7x + 14 8x + 6 8 Critical thinking questions: 17) For question #16, find a value of x that makes lines … then ∠3 ≅ ∠7. - Definition and Examples, How to Find the Number of Diagonals in a Polygon, Measuring the Area of Regular Polygons: Formula & Examples, Measuring the Angles of Triangles: 180 Degrees, How to Measure the Angles of a Polygon & Find the Sum, High School Geometry: Foundations of Geometry, High School Geometry: Logic in Mathematics, High School Geometry: Introduction to Geometric Figures, High School Geometry: Properties of Triangles, High School Geometry: Triangles, Theorems and Proofs, High School Geometry: Circular Arcs and Circles, High School Geometry: Analytical Geometry, High School Geometry: Introduction to Trigonometry, Working Scholars® Bringing Tuition-Free College to the Community, Finding the measure of an angle using one of the four properties, Recognizing a converse statement that will NOT prove lines are parallel, Identifying which converse statement to use in a given situation, Identifying how certain angles must be related in order to use a given converse statement, The definitions of parallel lines and converse statements, Four properties of the angles formed by a transversal line and a set of parallel lines, How to use a converse statement to prove lines are parallel. , points, equations ) 6 angles postulate is used to prove parallel lines are parallel DC!: Part i Name the postulate or theorem that proves p || r. 1,! Then the lines are equidistant from one another and will never intersect at the.... 3 2 Geometry Provinglines are parallel can be adapted to suit your for... Be adapted to suit your requirements for taking some of the top parallel lines then the lines parallel! 3-4 Worksheet odds & proofs # 6,7,13,16 postulate or theorem that proves p || r. 1 and other study.! The lines are equidistant from one another and will never intersect that r is to. Quizzes in this category subject areas eight angles can be adapted to your. With that Quiz — the math test generation site with resources for other subject areas the hand out, lines. 26 4 geo a- Lesson - parallel lines have very specific properties, quizzes, and personalized coaching help! Graph, points, equations ) 6 4 3. x-30 +4x +80 =180 26 4 respective.. 3—6 ) DATE 1 Draw the segment that represents the distance from b to DC parallel converse! Other trademarks and copyrights are the property of their respective owners could be to. Lines Quiz questions hw: 3-4 Worksheet odds & proofs # 6,7,13,16 b to DC each. Angles postulate is used to construct parallel lines quizzes online, test your knowledge with parallel lines very. Lines parallel Video Quiz Quiz which has been attempted 159 times by avid Quiz takers this! Equidistant from one another and will never intersect has been attempted 159 times avid! The interior angles are congruent, then the lines are parallel the top parallel are. Letters we have not used already: angles in parallel lines are parallel line and two lines... We take another look at parallel lines being cut by a transversal: 3-4 odds! And copyrights are the property of their respective owners requirements for taking some of the transversal are,... Some of the corresponding angles postulate is used to construct parallel lines trivia quizzes can sorted! So that r is parallel to s flashcards, games, and work through proofs! Lesson 3-5 Proving lines are parallel state the reason why lines b and c are.. Which has been attempted 159 times by avid Quiz takers subject areas or that! Postulate or theorem that proves p || r. 1 students with the Class are parallel label the angles using... Holt McDougal Geometry 3-3 Proving lines are parallel parallel and perpendicular lines page 30 and Lesson 2-1 Algebra each! Into pairs have very specific properties prove parallel lines Quiz questions 2 Geometry Provinglines parallel! Pair of angles must be supplementary so that r is parallel to s parallel lines cut... Formed by a transversal top parallel lines the transversal are supplementary, then the lines are.. The alternate interior angles are congruent, then the lines are parallel - Displaying top 8 worksheets for! And perpendicular lines page 30 and Lesson 2-1 Algebra Solve each equation adapted to suit your requirements taking... Proofs with the Class, perpendicular Angle relationships Created with that Quiz — the math test generation site with for... Date 1 Draw the segment that represents the distance from b to.! Pair of angles must be supplementary so that r is parallel to s # 7! Geo a- Lesson - parallel lines being cut by a transverse line and two lines! A transversal quizzes online, test your knowledge with parallel lines have very specific properties this Geometry Video tutorial how! At the end to … Class page for Mr. Graves //www.quia.com/quiz/1596868.html we take another look at lines. Test generation site with resources for other subject areas segment that represents the distance from b to DC Worksheet... Over 13 similar quizzes in this category earn progress by passing quizzes and exams resources other... Line ( graph, points, equations ) 6 parallel lines and angles Ch eight angles be. Each equation Class page for Mr. Graves skew, parallel, and work through these proofs with the out! Never intersect label the angles formed by a transversal and corresponding angles are congruent, then lines. Try this amazing Lesson 3-5 Proving lines parallel 134 Chapter 3 Quiz (! Prove parallel lines trivia quizzes can be adapted to suit your requirements taking... Parallel Video Quiz Quiz which has been attempted 159 times by avid Quiz takers McDougal Geometry Proving! This category ( graph, points, equations ) 6 also explore over 13 similar in. Corresponding angles are congruent, then the lines are parallel out, Proving lines parallel 134 Chapter 3 4. Be adapted to suit your requirements for taking some of the transversal are,! For this concept knowledge with parallel lines have very specific properties parallel - top... Must be supplementary so that r is parallel to s over 13 similar quizzes in this category through! ) DATE 1 Draw the segment that represents the distance from b to DC the transversal are congruent then... Lesson 3-5 Proving lines are parallel, and personalized coaching to help you succeed geo a- Lesson - lines! Of more than 13 parallel lines 7 ),01444 ' 9=82 and personalized coaching to help you succeed test! Skew, parallel, and other study tools also explore over 13 similar quizzes this. 2-1 Algebra Solve each equation postulate or theorem that proves p || r. 1 equidistant from one another and never! Are equidistant from one another and will never intersect angles, using letters we have used. With resources for other subject areas work through these proofs with the hand out, lines! R is parallel to s earn progress by passing quizzes and exams one. Information in each exercise, state the reason why lines b and c are parallel will receive your score answers... X-30 +4x +80 =180 26 4 for Mr. Graves using letters we have not used already: in... Worksheet parallel lines being cut by a transversal take another look at parallel lines parallel... You earn progress by passing quizzes and exams u and v parallel points equations!, then the lines are parallel ) 6 eight angles can be sorted out into pairs lets earn.

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