The compositions R090 °ry and ry ° R090 are not equivalent
How to determine the composition?
The compositions are given as:
R090 °ry and ry ° R090
The transformation R090 °ry means a rotation of 90 degrees followed by a reflection across the y-axis
i.e.
(x, y) => (y, -x) => (-y, -x)
The transformation ry ° R090 means a reflection across the y-axis followed by a rotation of 90 degrees
(x, y) => (-x,y) => (y,x)
See that the end results of both transformations are not the same
Hence, the compositions R090 °ry and ry ° R090 are not the same
Read more about transformation at:
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