ABCD is rotated counterclockwise about the origin. By how many degrees was ABCD rotated?
a- 180
b- 270
c- 90
d- 360

ABCD was rotated [tex]90^0[/tex], which is given in option [tex](c).[/tex] .
Rotation is the circular movement of an object around a center of axis.
We have,
A polygon ABCD before rotation.
After rotation it became A'B'C'D'.
So,
From the given figure ,
We can see that ,
Coordinate of [tex]A = (1,1)[/tex]
So, slope of [tex]A=\frac{1}{1}=1[/tex]
And,
Coordinate of [tex]A' = (-1,1)[/tex]
So, slope of [tex]A'=\frac-{1}{1}=-1[/tex]
So, rotation of [tex]90^0[/tex] takes place.
Hence, we can say that ABCD was rotated [tex]90^0[/tex] , which is given in option [tex](c).[/tex]
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