Triangle FGH with vertices F(1,8), G(5,7), and H(2,3) in the line y=x.
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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.
<h3>What is a transformation?</h3>A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of transformation.</h3>In Geometry, there are different types of transformation and these include the following:
- Dilation
- Reflection
- Rotation
- Translation
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:
Therefore, the image of triangle UVW would be given by this matrix:
Image =
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: brainly.com/question/12518192
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