The vertices of triangle R'S'T' are R' (1, 3), S' (6, 4), and T' (4, 2). If triangle RST was dilated about the origin with a scale factor of 3, what are the coordinates of its vertices?

R (1/3, 1), S (2, 4/3), T (4/3, 2/3)

Step-by-step explanation:

Dilation by a factor of 3 about the origin multiplies each coordinate by 3. To find what was multiplied by 3 to get the given coordinates, we divide the given coordinates by 3.

R (1/3,1)

S = (2,4/3)

T = (4/3,2/3)

Step-by-step explanation:

RST becomes R'S'T' by multiplying by 3

To get back to RST we need to divide by 3

R = (1/3, 3/3) = (1/3,1)

S = (6/3,4/3) = (2,4/3)

T = (4/3,2/3)