The coordinate of the point T after the given transformations is; T''(-2, -4)
<h3>How to carry out Translation Transformations?</h3>
We are given the coordinates of the rectangle STUV as;
S(-7, 6)
T(-2, 6)
U(-2, 1)
V(-7, 1)
Now, we are told that all these coordinates are translated using the transformation rule; (x, y) → (x − 2, y − 4)
Thus, the new coordinates using this transformation rule are;
S'(-9, 2)
T'(-4, 2)
U'(-4, -3)
V'(-9, -3)
Now, we are told that these new points are rotated 90° counterclockwise and as such the new coordinates formed will follow the pattern (x, y) → (-y, x).
Thus, our final coordinates are;
S''(-2, -9)
T''(-2, -4)
U''(3, -4)
V''(3, -9)
Thus, the coordinate of the point T after the given transformations is; T''(-2, -4)
Read more about Translation Transformation at; brainly.com/question/4289712
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