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lines are parallel. Use properties of parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Properties of parallel lines help you predict the paths of boats sailing into the wind, as in Example 4. Why you should learn it GOAL 2 GOAL 1 What you should learn 3.4 R E A L L I F E POSTULATE 16 ...
Prepare a worksheet with several math problems on how to prove lines are parallel. For instance, students are asked to prove the converse of the alternate exterior angles theorem using the two-column proof method. Include a drawing and which angles are congruent. Divide students into pairs.
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.
If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel. To show that congruent exterior angles will also prove the lines parallel, we will establish a connection between the exterior angles and angles 1 and 2, which are inside the triangles.
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.
21 lis 2023 · Learn about angles in parallel lines. Understand how to prove lines are parallel. Read about proving lines are parallel using parallel line rules and practice examples....
Proof that corresponding angle equivalence implies parallel lines.
