Question

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?

Answer 1

R (1/3 ,1)

S = (2,4/3)

T= (4/3,2/3)

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)

Answer 2

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

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.