In general, how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage? What effect does the scale factor of the dilation have on the slopes, if any?

Respuesta :

Answer:

The slopes of the line segments are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

Step-by-step explanation:

Plato simple answer

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

How does dilation works?

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Dilation if, is from the center of the rectangle, then distance of all the points of the rectangle from its center will get scaled by that dilation factor.

Slope:

We know that the slope is the ratio of change in y-value and change in x-value.

So, after dilation

m---->m

Length of line:

The length of line =x

so, it's length will become nx.

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

Learn more about dilation;

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