Suppose the vertices of the original figure in the example were A(-6,6), B(-2,5), and C(-6,2). What would be the vertices of the image after a 90° clockwise rotation about the origin? A'() B'() C'(___)

Question
Vectors and spaces
asked 2021-02-02
Suppose the vertices of the original figure in the example were A(-6,6), B(-2,5), and C(-6,2). What would be the vertices of the image after a 90° clockwise rotation about the origin?
A'()
B'()
C'(___)

Answers (1)

2021-02-03
When a point is rotated by 90 clockwise, the values of the x-coordinate and y-coordinate interchange with the x-coordinate changing its sign:
\(\displaystyle{\left({x},{y}\right)}\to{\left({y},-{x}\right)}\)
So, the vertices of the image are: \(\displaystyle{A}{\left(-{6},{6}\right)}\to{A}'{\left({6},{6}\right)}\)
\(\displaystyle{B}{\left(-{2},{5}\right)}\to{B}'{\left({5},{2}\right)}\)
\(\displaystyle{C}{\left(-{6},{2}\right)}\to{C}'{\left({2},{6}\right)}\)
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