Translate lines [i]AE,[/i] [i]CD [/i]and points[i] A, B, C, D, [/i]and[i] E[/i] by the directed line segment from [i]B[/i] to [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 ture about angle [i]ABC[/i] and angle [i]EBD[/i]? Explain how you know.

What is true about angle [i]ABD[/i] and angle [i]A'B'D'[/i]? Explain how you know.

Angles [i]ABD[/i] and [i]A'B'D'[/i] have a special name -- they are called corresponding angles.[br]List the other pairs of corresponding angles.