Question

Which statement accurately explains whether a reflection over the X-axis and a 180° rotation would map figure ACB onto itself?​

Answer 1

Using transformation rules, it is found that the correct option is:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

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• The transformation rule for a reflection over the x-axis is $(x,y) \rightarrow (x,- y)$
• The transformation rule for a rotation of 180º is $(x,y) \rightarrow (-x,-y)$

• After the reflection over the x-axis: $(x,y) \rightarrow (x, -y)$
• Taking the reflection, and rotating: $(x,-y) \rightarrow (-x, -(-y)) = (-x,y)$.
• Not the same rule, that is, $(x,y) \rightarrow (x,y)$, so it would not map figure onto itself.
• A(1,1) would be mapped to A(-1,1), for example, thus, the correct option is:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

A similar problem is given at brainly.com/question/10547006

Answer 2

Answer:

No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).

Step-by-step explanation:

Just took the test ::)