A transversal intersects two lines AB and CD at F and G respectively, such that ∠(c) and ∠(f) is a pair of consecutive interior angle and ∠(c) + ∠(f) = 180°. 4 Instructors are independent contractors who tailor their services to each client, using their own style, 3 Find the distance between … This theorem states that if two lines are cut by a transversal so that the consecutive interior angles are supplementary, then the lines are said to be parallel. We’ll replace m∠1 with  m∠2, m∠5 with m∠6 and m∠4 with m∠3, Filed Under: Parallel Lines Last updated on October 5, 2019. Parallel Axis Theorem, Moment Of Inertia Proof. 1) y x corresponding 2) y x alternate exterior 3) y x corresponding 4) y x consecutive interior 5) y x alternate interior 6) y x alternate exterior 7) y x alternate interior 8) y x alternate exterior-1- AB||CD, prove m∠5 + m∠4 = 180°, and that m∠3 + m∠6 = 180°. This page explains the 'Consecutive Interior Angles Converse Theorem'. Do It Faster, Learn It Better. Copyright © 2020. But we'd sure like to know about it so that we can fix it. The theorem tells us that angles 3 and 5 will add up to 180 degrees. *See complete details for Better Score Guarantee. Use this section to learn this theorem in a simple way. Please email us at GeometryHelpBlog@gmail.com. 6 So we will try to use that here, too, since here we also need to prove that the sum of two angles is  180°. Consecutive Interior angles: interior angles on same side of the transversal. Use this section to learn this theorem in a simple way. Consider the line AB ∠(c) + ∠(d) = 180° ∠(c) + ∠(d) = ∠(c) + ∠(f) ∠(d) = ∠(f)Since, ∠(d) and ∠(f) are alternate angle and are equal.Therefore, AB is parallel to CD. The consecutive interior angles theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary ie. We say this is a converse theorem, because it is similar to an inverse function. As of 4/27/18. Click to learn more... By accessing or using this website, you agree to abide by the Terms of Service and Privacy Policy. Thank you. You can contact him at GeometryHelpBlog@gmail.com. Consecutive Interior Angles Converse Theorem . Geometry doesn't have to be so hard! Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook 7 September 19, 2011 More with Vertical Angles Example One Example Two Example Three Example Four. This page explains the 'Consecutive Interior Angles Converse Theorem'. methods and materials. Varsity Tutors © 2007 - 2020 All Rights Reserved, AU-M - Associate in Commercial Underwriting-Management Test Prep, CCNP - Cisco Certified Network Professional Courses & Classes, IBEW - International Brotherhood of Electrical Workers Test Prep, CCNA Cloud - Cisco Certified Network Associate-Cloud Test Prep. We explain Consecutive-Interior Angles Converse with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. Consecutive Interior Angles: Definition & Theorem is the accompanying lesson that can teach you more about these topics: Traits of interior angles Definition of transversal Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles . It happens! Award-Winning claim based on CBS Local and Houston Press awards. and Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. Usually you are given two parallel lines; but here you are given with two lines and have to prove that they are parallel. If a transversal intersects two lines in such a way that a pair of consecutive interior angle are supplementary, then the two lines are parallel.

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