If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie?

(−1, 4)
(1, −4)
(4, −1)
(−4, 1)

Question

If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie?

 (−1, 4)
 (1, −4)
 (4, −1)
 (−4, 1)

josedavid · Answer

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josedavid · Answer

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anonymous · Answer

In order to find out where the point A lies after a reflection across the Y and X axis, just track point A. This is what I mean, since point A is 2 to the left of the Y axis, then when it is reflected across the Y axis, it will be 2 to the right. Now, since it is up 1 from the X axis, when it is reflected across the X axis, it will be 1 from the X axis. Then, you just rotate the whole entire image 180 degrees (half of a circle) and find the point where A lies.

josedavid · Answer

so is a