The problem asks three questions about the line segments in the given figure. a) Which two line segments are parallel to each other? b) Which two line segments are equal lengths? c) Which two line segments are perpendicular to DE?

GeometryLine SegmentsParallel LinesPerpendicular LinesGeometric Figures
2025/3/24

1. Problem Description

The problem asks three questions about the line segments in the given figure.
a) Which two line segments are parallel to each other?
b) Which two line segments are equal lengths?
c) Which two line segments are perpendicular to DE?

2. Solution Steps

a) Parallel line segments:
Parallel lines have the same direction. The arrows on the line segments AF and CD indicate that they are parallel.
b) Equal length line segments:
The tick marks on the line segments AB and BC indicate that they have the same length.
c) Perpendicular line segments:
Perpendicular lines intersect at a right angle (90 degrees). The square symbol at point D indicates that CD is perpendicular to DE. The square symbol at point F indicates that AF is perpendicular to DE.

3. Final Answer

a) AF and CD
b) AB and BC
c) CD and DE, AF and DE

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