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The coordinates of the point S' is (2,1)
Explanation:
Given that the RST has vertices R(0,0), S(10,5) and T(5,-5)
The image R'S'T' is the image of RST after a dilation with center (0,0) and scale factor
We need to determine the coordinates of the point S'
The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor
Let us consider the x - coordinate of the point S and multiply it with the scale factor
Thus, we have,
x - coordinate of the point S' is given by
Thus, the x - coordinate of the point S' is 2
Similarly, the y - coordinate of the point S' can be determined by multiplying the point S with the scale factor
Thus, we have,
The y - coordinate of the point S' is given by
Thus, the y - coordinate of the point S' is 1
Hence, the coordinates of the point S' is (2,1)