Question

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’?

Answer 1

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 $\frac{1}{5}$

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 $\frac{1}{5}$

Let us consider the x - coordinate of the point S and multiply it with the scale factor $\frac{1}{5}$

Thus, we have,

x - coordinate of the point S' is given by

$10 \times \frac{1}{5}=2$

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 $\frac{1}{5}$

Thus, we have,

The y - coordinate of the point S' is given by

$5\times\frac{1}{5}=1$

Thus, the y - coordinate of the point S' is 1

Hence, the coordinates of the point S' is (2,1)

Answer 2

Answer:

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Step-by-step explanation: