Question

I am not sure how to do this. Please help.

Answer 1

C

Explanation:

If ∆MNP is equilateral, then each of the arcs MN, NP and PM will be 120°. An inscribed angle from anywhere that intercepts one of these arcs will have measure 60°. That is, angle MQP is 60°. We already know angle MOQ is 60° (half of arc MN), so ∆MOQ is equilateral, and MO=MQ=PO.

Points M and N were drawn using Q as a center, and PO as a radius.