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 |
[tex] x_{S} - x_{M} = x_{M} - x_{P} \\ \\ x_{S} - (-2) = -2 - 3 \\ \\ x_{S} +2 = -5 \\ \\ x_{S} = -5 - 2 = -7[/tex]
[tex] y_{S} - y_{M} = y_{M} - y_{P} \\ \\ y_{S} - 0 = 0 - 5 \\ \\ y_{S} = -5[/tex]
Answer : S = (-7,-5)
as soon as I had a good range will add drawing
