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23. if a figure is reflected over the line y = x, what happens to the c…

Question

  1. if a figure is reflected over the line y = x, what happens to the coordinates of a point (x, y)?

a. they remain the same.
b. (x, -y)
c. (y, x)
d. (-y, x)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the line $y = x$, the $x$ - and $y$ - coordinates swap.
So the new coordinates of the point $(x,y)$ after reflection over the line $y=x$ are $(y,x)$.

Answer:

C. $(y,x)$