Question

If Figure GHI is dilated by a scale factor of 2.5 to form Figure G'H'I', what will be thecoordinates of G'H'I' ?-10HG9

Answer 1

The coordinates of the given figure are:

G(-2,3)

H(-3,-4)

I(4,1)

When you apply a dilation by a factor k, the new coordinates will be the result of multiplying each original coordinate by the scale factor as:

`(x,y)\rightarrow(kx,ky)`

The scale factor is 2.5, then the new coordinates will be:

`\begin{gathered} G^(\prime):(-2*2.5,3*2.5)\rightarrow(-5,7.5) \\ H^(\prime):(-3*2.5,-4*2.5)\rightarrow(-7.5,-10) \\ I^(\prime):(4*2.5,1*2.5)\rightarrow(10,2.5) \end{gathered}`

The answer is the last option. G'(