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WILL GIVE BRAINLIEST IF CORRECT, IF WRONG NO BRAINLIEST Which statement accurately explains whether a reflection over the x-axis and a 90° counterclockwise rotation would map figure ACB onto itself?

a coordinate plane with figure ACB with point A at 1, 1, C at 3, 4 and B at 5, 1

Yes, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
Yes, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
No, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

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sqdancefan

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Answer:

  No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

Step-by-step explanation:

Line AB is horizontal, so reflection across the x-axis maps it to a horizontal line. Then rotation CCW by 90° maps it to a vertical line. The composition of transformations cannot map the figure to itself.

A reasonable explanation is the last one:

  No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

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