The coordinates of the triangle A'B'C' are A'(x, y) = (10, - 4), B'(x, y) = (10, 2) and C'(x, y) = (8, 0).
How to find the coordinates of the vertices of the triangle by apply a rotation rule
Rotation is a kind of rigid transformation, transformations are rigid when the Euclidean distance in any part of the geometric locus is conserved. In this problem, we have a geometric locus generated by three distinct points on a Cartesian plane.
Rotation about point B can be done by using the following rotation formulas:
A'(x, y) = (10 , 2) + (- 6 · cos 90, - 6 · sin 90)
A'(x, y) = (10 - 6 · cos 90, 2 - 6 · sin 90)
A'(x, y) = (10, - 4)
C'(x, y) = (10, 2) + (- 2 · cos 90 - 2 · sin 90, - 2 · sin 90 + 2 · cos 90)
C'(x, y) = (10 - 2 · cos 90 - 2 · sin 90, 2 - 2 · sin 90 + 2 · cos 90)
C'(x, y) = (8, 0)
The coordinates of the triangle A'B'C' are A'(x, y) = (10, - 4), B'(x, y) = (10, 2) and C'(x, y) = (8, 0).
To learn more on rotations: https://brainly.com/question/12091224
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