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Suppose a point (x,y) on the coordinate plane is rotated 270 degrees counterclockwise, then reflected across the line y= -x, then reflected across the y axis. Show that the image of (x,y) is the same image as rotating (x, y) 180 degrees

Respuesta :

Answer:

steps below

Step-by-step explanation:

(x , y) --> (y , -x)    rotated 270 degrees counterclockwise

(y , -x) --> (x , -y)   reflected across the line y= -x

(x , -y) --> (-x , -y)  reflected across the y axis

           ║

(x , y) --> (-x , -y)    rotating (x, y) 180 degrees

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