Question

Triangle RST has the coordinates R (0.2), S (3.8), and T (6,2). Which of the following sets of

points represents a dilation from the origin of triangle RST?
A. R (0.2), S' (3.48), T' (36. 2)
B. R (0.2), S' (18,8), T (36,2)
C. R*(0, 12), S' (18,48), T (36, 12)
D. R (6,8), S' (9. 14), T (12,8)

Answer 1

Option C, R*(0, 12), S' (18,48), T (36, 12), represents a dilation from the origin of triangle RST.

Step-by-step explanation:

The set of points that represents a dilation from the origin of triangle RST is option C. R*(0, 12), S' (18,48), T (36, 12).

In a dilation from the origin, the x-coordinate of each point is multiplied by a scale factor and the y-coordinate is multiplied by the same scale factor. In this case, the scale factor is 6.

For example, R(0,2) becomes R*(0,12) because 0 * 6 = 0 and 2 * 6 = 12.