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#7 Perpendicular Line Through a Collinear Point

Step-by-Step Instructions

a. Place D between A and C. b. Create a circle with radius length CD and center the circle at C. c. Place point E where the circle intersects segment CB. d. Create a circle with a radius length of AC and center this circle at D. e. Make a copy of the circle with radius length AC and center it at E. f. Show the points of intersection for the two congruent circles, call them F and G. g. Draw line FG. h. Change the color/thickness of the line. 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?