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4 i Rotate the figure 90° counterclockwise about the origin, and then reflect in the x-axis. Polygon 1. Move PREV 1 2 3

Answer :

to rotate 90 degrees counterclockwise we must transform the points like this

[tex](x,y)\longrightarrow(y,-x)[/tex]

and then invert the sign of the y-coordinate or the second coordinate of each point, so the total transformation is

[tex](x,y)\longrightarrow(y,x)[/tex]

now, transform each point

[tex](0,4)\longrightarrow(4,0)[/tex][tex](0,1)\longrightarrow(1,0)[/tex][tex](2,1)\longrightarrow(1,2)[/tex][tex](2,4)\longrightarrow(4,2)[/tex]

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