Question

Graph the image of square RSTU after a rotation 270° counterclockwise around the origin.

Answer 1

Rotating 270 degrees counterclockwise about the origin is the same as rotating 90 degrees clockwise about the origin, which can be expressed in coordinate notation $(x,y) \longrightarrow (y, -x)$.

So, the vertices of the image are:

$U(4,0) \longrightarrow U'(0, -4)\\\\T(5,0) \longrightarrow T'(0, -5)\\\\S(5,-1) \longrightarrow S'(-1, -5)\\\\R(4, -1) \longrightarrow R'(-1, -4)$