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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.
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 ...
3.3 Proofs with Parallel Lines. 3.4 Proofs with Perpendicular Lines. 3.5 Equations of Parallel and Perpendicular Lines. Bike Path. (p. 161) Kiteboarding. (p. 143) Tree T H House. (p. ( 130) 130) Chapter Learning Target: Understand parallel and perpendicular lines. : I can identify lines and angles. I can . .
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.
To use the theorems you learned in Lesson 3.3, you must first know that two lines are parallel. You can use the following postulate and theorems to prove that two
3.3 Proofs with Parallel Lines EXPLORE IT Work with a partner. Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. a. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1 4 2 3 6 8 7 5 b. Alternate ...
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.
