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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.
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 ...
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.
Proving Parallel Lines Worksheet MATH MONKS £3 Given: Zl = Q Statements 2 clld Reasons Answers Given: Ll = Q, all b Statements Ll = Q, allb clld Reasons Given 3 2 4 Given Vertical angles theorem Transitive property of congruence. Converse of the corresponding angles theorem. Alternate interior angles theorem Transitive property of congruence.
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 ...
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.
Example 1 Find the slope of the line shown. Let ( x1, y1 ) ( 2, 2) and ( ) (1, 0). − − x2, y2 = slope y2 − y1. Write formula for slope. = — x2 − x1. 0 ( 2) − −. — 1 ( 2. Substitute.
