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GeoGebraGeoGebra Classroom

Parallel Lines Cut by a Transversal

Objectives: Students will be able to… • Identify corresponding, alternate exterior, and alternate interior angles. • Understand theorems about angles created by parallel lines cut by a transversal. The theorems we are looking at are • Corresponding Angles Postulate • Alternate Interior Angles Theorem • Alternate Exterior Angles Theorem What do you notice about the corresponding angles? What do you notice about the alternate interior angles? What do you notice about the alternate exterior angles? Do you think this would be true if the two lines were not parallel? Why? Can you come up with an explanation why this proves the theorems and postulate? If two corresponding angles were labeled 3x+4 and 1/2x+8, what would be the value of x? What are the angles values? Create a problem that can be solved using corresponding angles postulate.