Ayako claims that there are centers of dilations through which a dilation of line n by a factor leaves n changed. Determine whether each point below represents a center of dilation that supports ayako's claim

The answer is below

Step-by-step explanation:

The question is not complete. The points are not given, but I can explain it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the enlargement or reduction in the size of an object by a factor k. If a line AB is dilated by a factor k, with a center of dilation on the line AB, if the new line formed is A'B', then A'B' would lie on the same line AB irrespective of the dilating factor.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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step-by-step explanation: