Coordinates of image rectangle M'N'O'P' are M'(-2, 7), N'(-1, 5),O'(-7, 2) and P'(-8, 4).
What is rotation of shape?
When a point (x,y) is rotated 90 degrees counterclockwise (or equivalently, 270 degrees clockwise) about the origin in a Cartesian coordinate system, the new coordinates (x', y') is found using the following formulas:
[x' = -y] [y' = x]
So, swap the x coordinate for y Coordinates and negate the x coordinate.
Rectangle MNOP with vertices M(-7, -2), N(-5, -1), O(-2, -7) and P(-4, -8) is rotated 90 degrees counterclockwise about origin.
M(-7, -2) = M'(-2, 7),
N(-5,-1) = N'(-1, 5),
O(-2, -7) = O'(-7, 2)
P(-4,-8) = P'(-8, 4).
Then, coordinates of image rectangle M'N'O'P' are M'(-2, 7), N'(-1, 5),O'(-7, 2) and P'(-8, 4).