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Geometry
Question

A translation maps the point $$\mathrm{E}(-3,10)$$ to the point $$\mathrm{E}^\prime(2,1)$$. If the same translation maps point $$\mathrm{F}$$ to the image point $$\mathrm{F}^\prime(7,-4)$$ then which of the following are the coordinates of $$\mathrm{F}$$?

(1) $$\mathrm{F}(-6,12)$$

(2) $$\mathrm{F}(7,4)$$

(3) $$\mathrm{F}(12,-13)$$

(4) $$\mathrm{F}(2,5)$$

(4) $$\mathrm{F}(2,5)$$