Question

I don’t really need an explanation I just need the answers if you could help me out that would be nice

Answer 1

A' = (3, -1)

B' = (0 -3)

C' = (2, -4)

Step-by-step explanation:

Given:

A = (1, -3)

B = (3, 0)

C = (4, -2)

First we will apply the 90 degrees counterclockwise rotation:

interchange x and y, then negate the new x value

`\begin{gathered} (x,\text{ y) }\rightarrow\text{ (-y, x)} \\ A\text{ becomes: (-(-3), 1) = (3, 1)} \\ B\text{ becomes: (-0, 3) = (0, 3)} \\ C\text{ becomes: (-(-2), }4\text{) = (2, 4)} \end{gathered}`

Next we will apply reflection over the x axis:

negate y coordinate while keeping x coordinate constant

`\begin{gathered} (x,\text{ y) }\rightarrow(x,\text{ -y)} \\ (3,\text{ 1) becomes (3 -1)} \\ A^(\prime)\text{ = (3, -1)} \\ \\ (0,\text{ 3) becomes (0, -3)} \\ B^(\prime)\text{ = (0, -3)} \\ \\ (2,\text{ 4) becomes (2, -4)} \\ C^(\prime)\text{ = (2, -4)} \end{gathered}`