RST has vertices R(0,0), S(10,5), and T(5,-5). R’S’T’ is the image of RST after a dilation with center (0,0) and scale factor 1/5. What are the coordinates of point S’?

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)