Mathematics, 15.01.2021 17:10 arivalen

Zachary is given △ABC and is instructed to construct a median of the triangle. Zachary places his compass at C and draws two arcs on either side of AB. He then maintains the compass width and places the needle of the compass on A, drawing two more arcs intersecting the previously drawn arcs. He draws a line through the point of intersection to find D, the midpoint of AB. Zachary then draws CD and declares that the median has been constructed. Is Zachary's construction accurate? Explain. Yes. Zachary correctly constructed the median from A to CD.

No. Zachary should have drawn the first two arcs with the compass centered at B.

Yes. Zachary correctly constructed the median from C to AB.

No. Zachary should have drawn the second pair of arcs using a different compass width.

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