Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself?

Question

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself?

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

Answer 1

Reflection across the y-axis from (x,y) to (-x,y).

A 270^o counterclockwise rotation takes (x,y) to (y,-x).

So, (x,y) --> (-x,y) --> (y,x).

Not a mapping onto itself.

The correct answer is (3). A is (1,1), B is (5,1), and C is (3,4).