Kathy uses the following steps to construct a perpendicular line through a point C on a line segment:
Step 1: From point C, draw two arcs intersecting the line segment in points A and B.
Step 2: Using slightly more compass width, draw two arcs from point A, one above and the other below the line segment.
Step 3: Using the same width of the compass, draw two arcs from point B, above and below the line segment.
Step 4: Label the point of intersection of the arcs above the line segment as F and below the line as E.
Step 5: Using a compass, join E and F.

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