Using translation concepts, the coordinates of the vertices after a rotation 180º clockwise around the origin is:
S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the coordinates (x,y) of the vertices are given as follows:
S(4,10), R(4,3), U(8,3), T(8,10).
The rule for a rotation 180º clockwise around the origin is:
(x,y) -> (-x,-y).
Hence the vertices of the rotated image will be given as follows, applying the above rule:
S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).
More can be learned about translation concepts at https://brainly.com/question/4521517
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