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

Answer:

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.

Dilation of a line segment is to smaller or larger a line with a specific scale factor. The line n when dilated with the center of dilation on the line, it will bring no change on the original line.

Given information

The line which is dilated is n.

Dilation of a line segment is to smaller or larger a line with a specific scale factor. If this scale factor is more than 1 then the line segment will larger otherwise smaller.

In the given problem a line n is dilated with the a scale factor that leaves the changed of n.

If the entire line is dilated and the point of this line passes through center of dilation then the change will be nothing. If dilated from the center of dilation the scale factor does not matter.

To find center of dilation which supports Ayako's claim the point below which represents the center of dilation are not given in the problem.

Hence, The line n when dilated with the center of dilation on the line, it will bring no change on the original line.

Learn more about the center of dilation here;

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