This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
AE and CD
Here are the answers based on the markings in the diagram:
a) Which two line segments are parallel to each other? The arrows on line segments indicate they are parallel. Segments AE and CD both have a single arrow.
b) Which two line segments are equal lengths? The tick marks on line segments indicate they are equal in length. Segments AB and BC both have two tick marks.
c) Which two line segments are perpendicular to DE? The square symbols indicate a right angle (perpendicularity). Segment AE forms a right angle with DE at point E. Segment CD forms a right angle with DE at point D.
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a) Which two line segments are parallel to each other? The arrows on line segments indicate they are parallel.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.