Question

Please help!!!! Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (-1,2)

A. (1, -2) B. (-1, -2) C. (2, -1) D. (-2, -1)

Answer 1

Answer: D. (-2, -1)

Explanation:

Here we do two reflections to the point (-1, 2).

First, we do a reflection over the line x = y. Remember that a reflection over a line keeps constant the distance between our point and the given line, so we have that for a pint (x, y), the reflection over the line y = x is:

Ry=x (x, y) = (y, x)

so for our point, we have:

Ry=x (-1, 2) = (2, -1)

Now we do a reflection over the y-axis, again, a reflection over a line keeps constant the distance between our point and the given line, so if we have a point (x,y) and we do a reflection over the y-axis, our new point will be:

Ry-axis (x,y) = (-x, y)

Then in our case:

Ry-axis (2, -1) = (-2, -1)

The correct option is D.