Triangle MNP is rotated 90° clockwise using the origin as the center of rotation. On a coordinate plane, triangle M N P has points (negative 4, negative 1), (negative 2, negative 1), (negative 3, negative 3). What will be the coordinates of point M’ of the image after the rotation? (–4, 1) (–1, 4) (1, –4) (4, –1)

Respuesta :

Step-by-step explanation:

To rotate a point 90° clockwise around the origin in a coordinate plane, we can use the following transformation rules:

For a point \((x, y)\) being rotated 90° clockwise, its new coordinates \((x', y')\) are:

\[x' = y\]

\[y' = -x\]

Given the point M with coordinates (-4, -1):

\[x' = -1\]

\[y' = -(-4) = 4\]

So, the coordinates of point M' after the rotation would be (-1, 4). Therefore, the correct answer is (–1, 4).