Answer:
reflect across x axis: (x,-y)
reflect across y axis: (-x,y)
reflect across y=x: (y,x)
reflect across y= -x: (-y,-x)
90 cc rotation: (-y,x)
180 rotation: (-x,-y)
270 cc rotation: (y,-x)
Step-by-step explanation:
reflect across x axis: (x,-y) - x coor stays same and only y coor becomes negative
reflect across y axis: (-x,y) - x coor becomes negative and y coor stays the same
reflect across y=x: (y,x) - both coordinate switch places, no signs are changed
reflect across y= -x: (-y,-x) - both coordinates switch places and the signs are switched to the opposite sign of the original number
90 cc rotation: (-y,x) - opposite of the original y coor and both coordinates switch place (same as 270 clockwise)
180 rotation: (-x,-y) - both coordinates stay in there original place but with the opposite values of the original value
270 cc rotation: (y,-x) - both coordinates switch places and the x values is the opposite of the original value (same as 90 clockwise)
*to find the third columns answer all you have to do is plug in the given x and y values into the coordinate rule