Mathematics
dale
29

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (3, 5) and M =(-2, 0)

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TomRowey1

I'll try to explain. The trouble is that I do not know English :) About Points S = (x,y)        searched point (it will be in the third quadrant ) M = (-2,0)      Midpoint | SP | P = (3,5)        one end of the segment | SP | You have to draw Cartesian.  we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate . We use the information that | SM | = | MP | [latex] x_{S} - x_{M} = x_{M} - x_{P} \\ \\ x_{S} - (-2) = -2 - 3 \\ \\ x_{S} +2 = -5 \\ \\ x_{S} = -5 - 2 = -7[/latex] [latex] y_{S} - y_{M} = y_{M} - y_{P} \\ \\ y_{S} - 0 = 0 - 5 \\ \\ y_{S} = -5[/latex] Answer : S = (-7,-5) as soon as I had a good range will add drawing

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