Constructing a Perpendicular at a Point on a Line - Concept

Concept Concept (1)

When constructing a perpendicular bisector, we are specifically being asked to construct a line perpendicular to a line through the midpoint. To construct a perpendicular to a line through a point like the midpoint, we use a process similar to constructing a perpendicular to a line through a point not on the line. To construct a perpendicular, we use a compass and straightedge to determine a point equidistant from two equidistant points on the line.

Sample Sample Problems (1)

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Constructing a Perpendicular at a Point on a Line - Problem 1
Problem 1
How to construct a square if the perimeter of the square is given as a line segment.