Sumy is working in geometry class and is given figure ABCD in the coordinate plane to reflect. The coordinates of point D are (a, b) and she reflects the figure over the line y = x. What are the coordinates of the image D'? (a, –b) (b, a) (–a, b) (–b, –a)Sumy is working in geometry class and is given figure ABCD in the coordinate plane to reflect. The coordinates of point D are (a, b) and she reflects the figure over the line y = x. What are the coordinates of the image D'?

(a, –b)
(b, a)
(–a, b)
(–b, –a)

Respuesta :

Answer:

(b, a)

Step-by-step explanation:

Example if D was (3, 2) and reflects across y = x, D' will be (2, 3)

The coordinates of the image of D is (b,a)

How to determine the coordinates of the image of D?

The point D is given as:

D = (a,b)

The rule of reflection across the line y = x is

(x,y) -> (y,x)

So, we have:

(a,b) -> (b,a)

Hence, the coordinates of the image of D is (b,a)

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