a quadrilateral with G (-10,1) E (-6,-4), O (2,0) abd M (0,4) is rotated the organ 270° counterclockwise apply rotation mapping rolls to find the image of M

Answer 1

To rotate the point M(0, 4) by 270° counterclockwise around the origin, you can use the rotation formulas for counterclockwise rotation. Specifically, the rotation of a point (x, y) by 270° counterclockwise can be accomplished using the following transformation:

\[ (x', y') = (y, -x) \]

Here, M is represented by the coordinates (0, 4). Plugging these values into the formula gives:

1. Identify the coordinates:

   • x = 0
   • y = 4

2. Apply the rotation formula:

   • x' = y = 4
   • y' = -x = -0 = 0

Thus, the image of M(0, 4) after a 270° counterclockwise rotation around the origin is:

M' (4, 0).