G.1.20.3 An Alternate Explanation

Here are intersecting lines AE and CD:
Rotate line [i]AE [/i]and points[i] A, B, [/i]and[i] E[/i] by 180 degrees around point [i]C[/i]. Label the images of [i]A, B, C, D, E [/i]as [i]A', B', C', D', E'. [br][br][/i]What is true about lines [i]AE[/i] and [i]A'E'[/i]? Explain your reasoning.
What is true about angle [i]CBE[/i] and angle [i]CB'E'[/i], explain how you know.
Angles [i]CBE[/i] and CB'E' have a special name -- they are called Alternate Interior Angles.[br][br]Name another pair of Alternate Interior Angles.
What is true about angle [i]ABC[/i] and angle [i]CB'E'[/i], explain how you know.
Angles [i]ABC[/i] and [i]CB'E'[/i]' have a special name -- they are called Consecutive (Same Side) Interior Angles.[br][br]Name another pair of Consecutive Interior Angles.
What is true about angle [i]DBE[/i] and angle [i]D'B'E'[/i], explain how you know.
Angles [i]DBE[/i] and [i]D'B'E'[/i] have a special name -- they are called Alternate Exterior Angles.[br][br]Name another pair of Alternate Exterior Angles.
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Information: G.1.20.3 An Alternate Explanation