Explanation:
The rule for a rotation of 180 degrees clockwise about the origin is:
[tex](x,y)\rightarrow(-x,-y)[/tex]So after the first transformation, point A goes to (-2, 3)
The rule for a reflection over the x-axis is:
[tex](x,y)\rightarrow(x,-y)[/tex]After the second transformation, point A goes to (-2, -3)
The rule for a reflection over the y-axis is:
[tex](x,y)\rightarrow(-x,y)[/tex]So after the last transformation, point A goes to (2, -3)
Answer:
A'(2, -3)
point A' is the same point A