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If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel
1 r 4 3 2 y x 1 3 2 3-3 Practice Form G 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 ...
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 each conditional statement. Draw a diagram to represent the converse. Determine whether the converse is true. Justify your conclusion.
1. If two lines are cut by a transversal so that alternate interior angles are (congruent, supplementary, complementary), then the lines are parallel. 2. If two lines are cut by a transversal so that same-side interior angles are (congruent, supplementary, complementary), then the lines are parallel. 3. If two lines are cut by a transversal so ...
Examples 1 and 2. You are asked to prove Theorem 3.10 in Exercise 30. GOAL 1 Prove that two lines are parallel. Use properties of parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Properties of parallel lines help you predict the paths of boats sailing into the wind, as in Example 4. Why ...
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.
6 dni temu · Chapter 3 - Parallel and Perpendicular Lines. 3.3 - Proving Lines Parallel. 1. Start by copying the same angle as in Investigation 3-1, but place the copy where the alternate interior angle would be.
