Sumy is working in geometry class and it's given figure abcd in the coordinate plane to reflect. the coordinates of point d are (a, b) and she reflects a figure over the line y equals x. what are the coordinates of the image d? a. (a,-b)b. (b, a)c. (-a, b)d. (-b,-a)

The image of the point D following a reflection across the line y = x reverses

the positions of the x and y-values in the ordered pair.

The coordinates of the image, d, is

Reasons:

The reflection of a point (x, y) over the line y = x, gives the image of the

preimage at the point (y, x).

Therefore, the location of the image of the point D(a, b) following a

reflection across the line y = x is the point d(b, a)

D(a, b) d(b, a)

The correct option is B.  

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