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# Justify constructions

## Problem

Tanya started with point C and line A, B, with, \overleftrightarrow, on top and constructed C, E, with, \overleftrightarrow, on top.
Line A B and point C not on the line. A circular arc centered at point A passes through point C and line A B. The intersection of the arc and line A B is labeled D. A circular arc centered at point C intersects a circular arc centered at point D. The intersection is labeled point E. A line passes through points C and E.
Which two statements, if true, guarantee that A, B, with, \overleftrightarrow, on top is parallel to C, E, with, \overleftrightarrow, on top?