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If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel
Independent Practice: PROOFS OF PARALLEL LINES Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 170 11. Find the values of x and y that makes a ll c, makes if a b: m 6 = (2 x - 3) and m 1 = (4y + 22) . x = _____ y = _____ 7 12. Find the values of x and y that a ll b: m 3 = (5x - 10) and m 5 = (8x - 5) and
What you should learn. GOAL 1. Prove that two lines are parallel. re parallel. You can use the following postulate and theorems to p. GOAL 2 Use properties of lines are parallel. parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Why you should learn it. n Exa.
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.
Developing Proof Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem or postulate. 15. /11 is supplementary to /10. 16. /6 > /9 17. /13 is supplementary to /14. 18. /13 > /15 19. /12 is supplementary to /3. 20. /2 > /13 Algebra Determine the value of x for which j n k. Th en fi nd ml1 ...
18) Even if the lines in question #16 were not. Any value other than 8. 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.
PARALLEL LINE PROOFS. Peel & Stick Activity! Objective: To practice completing parallel line proofs. Reasons included: Definition of Congruence, Definition of Angle Bisector, Definition of Supplementary Angles, Congruent Supplements Theorem, Angle Addition Postulate, Subtraction Property of Equality, Substitution Property, Transitive Property, ...
