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A reflection over the x-axis changes the sign on the y-coordinate. A reflection over the y-axis changes the sign on the x-coordinate. Rotating by 180 degrees reverses the x- and y-coordinates.
@ospreytriple i doth get it
Looking at the given diagram, what are the coordinates of point B?
Great. So first apply a reflection over the x-axis. As I said earlier, the sign on the y-coordinate changes. What are the new coordinates?
how do i do that
i am really bad at geometry
Change the sign on the y-coordinate. It it's positive, it becomes negative. If it's negative, it becomes positive.
so choice a
Good. Now apply the reflection over the y-axis. In this transformation, the sign on the x-coordinate changes. What does that give you?
so choice b?
Good. Now finally, rotate by 180 degrees. In this transformation, both coordinate change sign (I messed up when I tried to explain above). What does this give you?
Correct. Good job!
Yup. Draw it out for yourself to confirm.
it will be on the same position as B
That's right. It ends up right back where it started.
Wouldn't that be 360?
You have performed three transformations, reflection across x-axis, reflection across y-axis, and rotation of 180 degrees. Not just a 180-degree rotation.
so what would 360 and 180 rotation for point b
I don't understand your question? Please explain.
i confused what my answer would be
Why? You have your answer.
it just looks weird to me
Well then, draw it out. That's what you should be doing anyway. |dw:1442273486042:dw|