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.
Part A: Which is the first incorrect step? Part B: Using complete sentences, explain your answer for Part A. Part C: Explain why a compass works for the construction done by Kathy.
I didn't see any incorrect steps. But a graphic is attached.
can you anser part c in words please @wolf1728
As for a proof of that construction here's a link http://www.mathopenref.com/constbisectline.html Scroll past the animation and you'll see the proof. Basically it works because you are constructing four congruent triangles.
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