Question

If Triangle XYZ is reflected across the x-axis AND then the y-axis to form Triangle X'Y'Z', what are the coordinates of Y'? * y Y O (3,2) O (3,-2) O (3-2) 0 (3,2)

Answer 1

We want to know the coordinate of the point Y', which is part of the triangle X'Y'Z', and thus given by reflecting across the x-axis and then the y-axis. So, we will reflect the point Y across the x-axis and the y-axis.

The point Y is (3,2). Its reflection across the x-axis will be given by changing the sign of the y coordinate:

$R_x\lbrack(3,2)\rbrack=(3,-2)$

And the reflection of that point across the y-axis will be given by changing the sign of the x-coordinate:

$R_y\lbrack(3,-2)\rbrack=(-3,-2)_{}$

This means that the coordinates of the point Y' are (-3,-2).