Line segment XY is located at X(2, 6) and Y(4,8). If the line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). What are the coordinates of X'?

Given:

Line segment XY is located at X(2, 6) and Y(4,8).

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).

To find:

The coordinates of X'

Solution:

If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is

The coordinate of X are (2,6).

Therefore, the coordinates of X' are (7,8).

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