**! triangle mnp is rotated 90 degrees clockwise using the origin as the center of rotation

 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.

55

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,