The end points are 7 and 2.
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Angle An angle is formed by 2 rays extending from the same endpoint.
The common endpoint of 2 rays that form an angle is the vertex.
Yes.
There are two possible answers given the information. What isn't given is if the second point is one third of the way from the known or unknown endpoint. Say the known endpoint is (xe,ye) and the point one third of the way along is (xt,yt). If the point one third of the way is closest to the known endpoint, the other endpoint would be (xe+3*(xt-xe), ye+3*(yt-ye)). This is probably the answer implied by your question. If the point is closest to the unknown endpoint the the unknown endpoint is (xe+(3/2)*(xt-xe), ye+(3/2)*(yt-ye)).
Diameter endpoint's: (2, -3) and (8, 7) Midpoint: (5, 2) which is the centre of the circle Distance from (5, 2) to (2, -3) or (8, 7) = square root of 34 which is the radius Equation of the circle: (x-5)^2 +(y-2)^2 = 34