Question

Match the correct letter to each coordinate point.Dilate the figure by a scale factor of 3\2

Answer 1

In order to find the new coordinates for the dilated figure, we just need to multiply the coordinates of each point by the scale factor. So we have the following:

`\begin{gathered} I(0,4)\to I^(\prime)(0\cdot(3)/(2),4\cdot(3)/(2))=I^(\prime)(0,6) \\ J(4,-2)\to J^(\prime)(4\cdot(3)/(2),-2\cdot(3)/(2))=J^(\prime)(6,-3) \\ K(-4,-2)\to K^(\prime)(-4\cdot(3)/(2),-2\cdot(3)/(2))=K^(\prime)(-6,-3) \end{gathered}`

So the coordinates of the points in the dilated figure are I'(0, 6), J'(6, -3) and K'(-6, -3).