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)=(1)/(3)LK=(1)/(3)*18=6`

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

So, the dilation can be represented as

`(1)/(3)X,(1)/(3)Y`

So, Emily's statement is correct.