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Is the composition RO,90° or equivalent to the composition ryo RO,90°? Explain your answer.​

Is The Composition RO90 Or Equivalent To The Composition Ryo RO90 Explain Your Answer class=

Sagot :

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

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