The values obtained from the dilation transformation are;
- The distance between the x-coordinate of R and T is 3
- The distance between the y-coordinate of R and T is 6
- R' is (-1, 2) from T, so the coordinates of R' are (2, 0)
Reason:
The given rule for the dilation of ΔRST is [tex]D_{T, \, 1/3}(x, \, y)[/tex]
The vertices of the given triangle are R(0, 4), S(0, -2), T(3, -2)
The distance between the x-coordinate of R and T is 3 - 0 = 3
The distance between the y-coordinate of R and T is 4 - (-2) = 6
The location of the point R' relative to point T is therefore; [tex]\dfrac{1}{3} \times \left (-3, \, 6) = (-1, \, 2)[/tex]
Which gives the location of point R' = (-1 + 3, 2 - 2) = R'(2, 0)
Therefore;
R' is (-1, 2) from T, so the coordinates of R' are (2, 0)
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