### Instruction: Points $A(-4,1), B(-1,4)$ and $C(-1,1)$ are the vertices of $\triangle ABC$. What will be the coordinates of the image of point A if $\triangle ABC$ is rotated 90 degrees clockwise about the origin?### Response: I know that rotating a point 90 degrees clockwise about the origin means swapping its coordinates and changing the sign of the new y-coordinate.
So, to find the image of point A, I just need to swap its coordinates and change the sign of the new y-coordinate.
That means the image of A is $(1,4)$.