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G.CO.9 Exploring Alternate Interior Angles

Author:Cindy Almazan, Tim Brzezinski
In the applet below, a TRANSVERSAL intersects 2 PARALLEL LINES.  When this happens, there are 2 pairs of ALTERNATE INTERIOR ANGLES that are formed.  Interact with the applet below for a few minutes, then answer the questions that immediately follow.

Move the slider (Slide Me!), what transformation(s) took place?

If the pink angle above measures 156 degrees, what would the measure of its alternate interior angle be? Use your knowledge of rigid transformations to justify your reasoning.

What can you conclude about alternate interior angles? Explain your reasoning.

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