Answer:
[0 1][ 0 1 2] = [1 2 0]
[-1 0][ 1 2 0] [0 -1 -2]
T'(1, 0), U'(2, 1), W'(0, -2)
Step-by-step explanation:
The rule to rotate a figure 90 degrees clockwise about a point is
(x, y) --> (y, -x)
It means that we need to interchange x and y and then, the second coordinate will have the opposite sign.
To interchange the coordinates, we use the following matrix
[ 0 1 ]
[ 1 0 ]
Then, the second coordinate has the opposite sign, so the second row will have the opposite sign
[0 1 ]
[-1 0 ]
Therefore, the matrix for a 90 degrees rotation clockwise is
[0 1 ]
[-1 0 ]
And the answer is
[0 1][ 0 1 2] = [1 2 0]
[-1 0][ 1 2 0] [0 -1 -2]
Where each column of the second matrix are the coordinates of T, U, and V. Then, the new vertices of the figure will be
T'(1, 0) U'(2, 1) W'(0, -2)