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This activity walks students through how to prove lines are parallel.
Once students are comfortable with the theorems, we do parallel lines proofs the next day. I used this parallel lines proofs booklet for students to organize their practice proofs and it fits in their interactive notebook.
In advanced geometry lessons, students learn how to prove lines are parallel. More specifically, they learn how to identify properties for parallel lines and transversals and become fluent in constructing proofs that involve two lines parallel or not, that are cut by a transversal.
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.
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.
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.
Videos, worksheets, games and activities to help PreCalculus students learn how to use the converse of the parallel lines theorem to prove that lines are parallel. What is the corresponding angle postulate?