Question

Emmit says the dilation can be represented by (1/2X, 1\2Y)Emily says the dilation can be represented by(1\3X, 1\3Y)Who is correct and why

Answer 1

In the triangle LJK, the length of side LK=18.

In the triangle L'J'K', the length of side L'K'=6

Therefore,

$L^{\prime}K^{\prime}=\frac{1}{3}LK=\frac{1}{3}\times18=6$

Therefore, the scale factor for dilation is 1/3.

So, the dilation can be represented as

$\frac{1}{3}X,\frac{1}{3}Y$

So, Emily's statement is correct.