Question

!*HELP*!Triangle MNP is rotated 90 degrees clockwise using the origin as the center of rotation

Answer 1

When the triangle MNP is rotated 90° cw, using the origin as the center of rotation point M will land on (-1 , 4).

Answer 2

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.