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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.
Here are some examples of pairs of lines in a coordinate plane. a. 2 x + y = 2 These lines are not parallel b. 2 x + y = 2 These lines are coincident x − y = 4 or perpendicular.
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 ...
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.
Parallel and Perpendicular Lines 3.1 Lines and Angles Learning Objectives • Identify parallel lines, skew lines, and parallel planes. • Use the Parallel Line Postulate and the Perpendicular Line Postulate.
3 sty 2018 · 3.3 Proofs with Parallel Lines. Write the converse of the following theorems: (In your notes from yesterday) Converse: (Important!) Proving the Alternate Interior Angles Converse. Write a two-column proof: Critical Thinking: If line L is parallel to line M, and Line M if parallel to line P then... Why? What is this called? Real World Example:
Learn how to solve proofs involving parallel lines, and see examples that walk through sample problems step-by-step for you to improve your geometry proof-writing skills.