The transformation R270° 0 D₁ means a counterclockwise rotation of 270 degrees about the origin, followed by a reflection in the x-axis.
To find the image point of (-2, 10) under this transformation, we can apply each step of the transformation in turn.
Rotation of 270 degrees counterclockwise about the origin:
The point (-2, 10) will rotate counterclockwise by 270 degrees to a new point. To perform this rotation, we can switch the x and y coordinates of the point, and negate the new x-coordinate. Thus, the rotated point will be (10, 2).
Reflection in the x-axis:
The point (10, 2) will reflect across the x-axis. To perform this reflection, we simply negate the y-coordinate of the point. Thus, the reflected point will be (10, -2).
Therefore, the image point of (-2, 10) after the transformation R270° 0 D₁ is (10, -2).