**! 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.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

30005

yes ok