Triangle jkl is transformed using the rule ro, 90° • ry = –x(x, y). point k of the pre-image is at (4, 7). what are the coordinates of point k" on the final image? (–7, –4) (–4, –7) (4, –7) (4, 7)

Triangle jkl underwent two transformations.the first transformation is a rotation of 90° about the origin. the second transformation is a refrection across the line y = -xpoint (4, 7) is in the first quadrant. a 90° rotation of point (4, 7) about the origin will result in a point in the fourth quadrant with the coordinates of x and y interchanged.i.e. a 90° rotation of point (4, 7) about the origin will result in point (7, -4).a refrection of the point (7, -4) across the line y = -x will result in the interchange of the cordinates and the change of signs in the coordinates.thus, a refrection of the point (7, -4) across the line y = -x will result in (4, -7)therefore, the coordinates of point k" on the final image are (4, -7).