Question

A triangle has vertices A(0,0),B(-3,6),and C(0,9). What are the coordinates of the triangle after a dilation with a scale factor of 3

Answer 1

Answer: the triangle after the dilation has the vertices A' = (0,0), B' = (-9, 18) and C' = (0, 27)

Explanation:

If the dilation is from the origin, then we need to multiplicate each point by the scale factor, then each one of the vertices change as:

A' = 3*A = 3*(0,0) = (0, 0)

B' = 3*B = 3*(-3, 6) = (-3*3, 6*3) = (-9, 18)

C' = 3*C = 3*(0,9) = (0, 3*9) = (0, 27)

Then the triangle after the dilation has the vertices A' = (0,0), B' = (-9, 18) and C' = (0, 27)