Question

Point W"(3, 5) was created by reflecting W over the line y=x, then rotating it counterclockwise by 90 degrees. What was W?

Answer 1

Answer:

W(-3,5)

Explanation:

Let Point W be the point (x,y)

If W is reflected over the line y=x, we have the transformation:

$(x,y)\rightarrow W^{\prime}(y,x)$

Next, if we rotate W' counterclockwise by 90 degrees, we have the transformation rule:

$W^{\prime}(y,x)\rightarrow W^{\doubleprime}(-x,y)$

Therefore, we have that:

$\begin{gathered} (-x,y)=(3,5) \\ \implies x=-3\text{ and y=5} \end{gathered}$

The coordinates of W are (-3,5).