Question

Triangle WXY has vertices at W(8, 4), x(0, 8), and Y(4, 2). Triangle WXY will be dilated by a scale factor of 1. What will be the coordinates of W'?

Answer 1

We can describe the transformation from the original points to the scaled points as:

$P=(x,y)\longrightarrow P^{\prime}=(kx,ky)$

In this case, W=(8,4) and k=1/4.

Then, the scaled point is:

$W=(8,4)\longrightarrow W\text{'}=(\frac{1}{4}\cdot8,\frac{1}{4}\cdot4)=(2,1)$

The coordinates of W' will be (2,1).

Option B is the answer.