Answer: The correct option is (B) (-1, 4).
Step-by-step explanation: Given that the triangle MNP shown on the co-ordinate grid is rotated 90 degrees clockwise using the origin as the center of rotation.
As noted from the graph, the co-ordinates of the vertices of triangle MNP are M(-4, -1), N(-2, -1) and P(-3, -3).
We are to find the co-ordinates of the point M' of the image after rotation.
We know that
if a point (x, y) is rotated 90 degrees clockwise using the origin as the center of rotation, then its co-ordinates changes as follows :
(x, y) ⇒ (y, -x).
Therefore, after rotation, the co-ordinates of the image M' will be
M(-4, -1) ⇒ M'(-1, -(-4)) = M'(-1, 4).
Thus, the co-ordinates of the image M' after rotation are (-1, 4).
Option (B) is CORRECT.
