Clayton needs to reflect the triangle below across the line y=x. Which statements about the reflection are true? Check all that apply.

the pre-image is the segment MN with M=(0,0), and N=(2,0)

Step-by-step explanation:

The segment of length "4" M'N', comes from a segment of length 2 because the dilation scale factor was "2".

On the other hand, the center of dilation must be located on the same line as any of the correspondent points on the segments. Notice that the center of dilation is a fixed point in the plane about which all points are dilated.

In this case, the center of dilation was on one end of the pre-image point N = (2,0), and separated from the center of dilation a distance zero. Then the distance from the center of dilation to the new N' will also be zero (zero times 2 gives zero).

On the other hand, the point M (0,0) which is at distance of 2 units from the center of dilation, will result into a point 4 units away (due to dilation factor 2) from the center of dilation (and in line with the point M and with the center of dilation). This image point is in fact located at (-2,0) which is 4 units from the center of dilation.