What would the coordinates of the new image be? (view picture)

  T(1, 5), R(7, 7), A(7, 1), M(4, 5)

Step-by-step explanation:

The mapping for -90° rotation is (x, y) ⇒ (y, -x).

 for example, T(-5, 1) ⇒ T'(1, 5)

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If you're doing this with pencil and paper, you can draw the image and axes the way it is, then rotate your drawing 90° clockwise (so the axes line up) and copy it into the first quadrant.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .