Question

Find Q', the image of Q(2, -3), after a reflection across the line y = x.

Answer 1

Explanation:

To find the image Q' of point Q(2, -3) after a reflection across the line y = x, you can switch the x and y coordinates of the point Q.

So, for Q'(x', y'), you have:

x' = -3 (which comes from the y-coordinate of Q)

y' = 2 (which comes from the x-coordinate of Q)

Therefore, Q'(x', y') = Q'(-3, 2). So, the image of Q(2, -3) after a reflection across the line y = x is Q'(-3, 2).