Answers:
[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]
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Explanation:
Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).
For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)
This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.
