#7 Perpendicular Line Through a Collinear Point

Step-by-Step Instructions
a. Place D between A and C.[br]b. Create a circle with radius length CD and center the circle at C.[br]c. Place point E where the circle intersects segment CB.[br]d. Create a circle with a radius length of AC and center this circle at D.[br]e. Make a copy of the circle with radius length AC and center it at E.[br]f. Show the points of intersection for the two congruent circles, call them F and G.[br]g. Draw line FG.[br]h. Change the color/thickness of the line.[br]i. Use the angle tool to verify that the line is perpendicular to segment AB.
Analysis
What is significant about points D and E that led to creating a perpendicular line passing through C?
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Information: #7 Perpendicular Line Through a Collinear Point