Alternate Exterior Angles

In the sketch above, BAC and DFE are called alternate exterior angles, because they are on the exterior of the parallel lines and on alternate sides of the transversal. Make a conjecture about the relationship between the measures of alternate exterior angles.

Why do you believe your conjecture is true?

Perform transformations on the circular sector representing DFE so that you can compare it to BAC.

Describe what transformations you did on the sector representing DFE and how your transformations prove your conjecture.

Drag points A, B, and F to check if your conjecture holds true for alternate exterior angles on every pair of parallel lines cut by a transversal.