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If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Examples In the diagram at the left, ∠1 ≅5, 2 6, 3 7, and 4 8.
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.
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.
Use a square viewing window. Classify the lines as parallel, perpendicular, coincident, or nonperpendicular intersecting lines. Justify your answer. 1. x + 2y = 2 2. x + 2y = 2 3. x+ 2y = 2 4. + 2y = 2 2x − y = 4 2x + 4y = 4 x + 2y = −2 x − y = −4 Classifying Pairs of Lines Here are some examples of pairs of lines in a coordinate plane.
Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. Corresponding Angles Theorem. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. b. Alternate Altern Interior Angles Theorem.
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.
21 lis 2023 · Compare parallel lines and transversals to real-life objects ; Characterize corresponding angles, alternate interior and exterior angles, and supplementary angles
