If you're seeing this message, it means we're having trouble loading external resources on our website. Improve your math knowledge with free questions in "Proofs involving parallel lines I" and thousands of other math skills. (They make a Z shape.) Geometry Proofs with Parallel Lines-Reasons in Proofs. LESSON 3.3 NOTES. Independent Practice: PROOFS OF PARALLEL LINES NAME: DATE: PERIOD: Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 167 For # 1-3, given a ‖ b, state the postulate or theorem that justifies each conclusion. 1 Day 1 – Algebraic Proofs Warm - Up. If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel. 5-8 Parallel Lines in Triangle Proofs: HW. Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. Types: Worksheets, Test Prep, Homework. Packet. parallel lines, then it is perpendicular to the other line. LESSON 3.3 RESOURCES. In the diagram below, four pairs of triangles are shown. Parallel Lines. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Flashcards. Explain why the top stripe is parallel to the bottom stripe. 1.3 Basic Postulates. Proving Parallel Lines. Download the homework worksheet here. Download a printable version of the notes here. 2.4 Proving Lines Parallel (Converse-Theorems) 2.5 Slopes of Lines. Donate Login Sign up. STUDY. Geometry: 3.3 Proofs with Parallel Lines Remember that the converse of a true conditional statement is not necessarily true, so you must prove each converse of a theorem. Then you can reason out your proof using information you know and using what is true about angles formed from parallel lines and a transversal. Types: Worksheets. By using this website, you agree to our Cookie Policy. 1.0. Picture a railroad track and a road crossing the tracks. Grades: 8 th, 9 th, 10 th, 11 th, 12 th. Each stripe is parallel to the stripe immediately below it. Write. The red line is parallel to the blue line in each of these examples: Example 1. Parallel lines proofs worksheet answers. Students will practice using theorems about parallel lines, including Alternate Interior Angles Theorem, Alternate Exterior Angles Theorem, Corresponding Angles Postulate, Consecutive Interior Angles Theorem, as well as Linear Pair Postul. Identify the Basic Elements. 1 is supplementary to 8 because given _____ 2. Created by. The lines are PARALLEL Consecutive interior angles are supplementary. Multiplying and dividing fractions worksheets. Your students will love this HANDS-ON ACTIVITY.In this activity, students will cut strips of paper and assemble them into two-column proofs. 3.3 - Proofs with Parallel Lines. 2.3 Conditional Statements. Let's go over each of them. When a line intersects two or more lines the angles formed at the intersection points create special angle pairs. Search. (They make an F shape.) In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Alternate interior angles are congruent. Common Core State Standards: HSG-CO.C.9, HSG-CO.D.12. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel. Section 3.3 Proofs with Parallel Lines 141 Using the Transitive Property of Parallel Lines The fl ag of the United States has 13 alternating red and white stripes. In this READY TO PRINT proofs activity, students will write three parallel lines proofs. This website uses cookies to ensure you get the best experience. Learn. 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