Question

Pls answer for brainliest

Answer 1

Answer: Choice B

$(x,y) \to \left(\frac{5}{2}x,\frac{5}{2}y\right)$

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Explanation:

When dilating with respect to the origin, any point of the form (x,y) moves to (kx, ky) for some real number k. The k is the scale factor.

Point C is at (-2,2). It moves to C ' (-5,5)

The jump from x = -2 to x = -5 is "times 5/2" since kx = (5/2)*(-2) = -5

The same scale factor is used when going from y = 2 to y = 5.

Both x and y coordinates are multiplied by 5/2 to move from (-2,2) to (-5,5)

Therefore, the dilation rule we use is $(x,y) \to \left(\frac{5}{2}x,\frac{5}{2}y\right)$

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We could have these steps to confirm

$(x,y) \to \left(\frac{5}{2}x,\frac{5}{2}y\right)\\\\(-2,2) \to \left(\frac{5}{2}*(-2),\frac{5}{2}(2)\right)\\\\(-2,2) \to (-5,5)$