The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
What is a transformation?
A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
The types of transformation.
In Geometry, there are different types of transformation and these include the following:
Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
[tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex]
Therefore, the image of triangle UVW would be given by this matrix:
[tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right][/tex]
Image = [tex]\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right][/tex]
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
Read more on transformations here: https://brainly.com/question/12518192
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