If triangle abc is reflected over the x-axis, rotated 180 degrees, and reflected over the y-axis, where will point b' lie? (5 points)
(2, −7)
(−2, 7)
(−7, 2)
(7, −2)

The correct option is 3.

Step-by-step explanation:

From the given figure it is clear that the coordinates of B are (-7,2).

If triangle ABC is reflected over the x-axis, then

After that it rotated 180 degrees,

Then it reflected over the y-axis,

The coordinates of B' are (-7,2).

Therefore, the correct option is 3.

Reflecting across the X axis, rotating 180 and then reflecting across the Y axis will put the triangle in the same place it was originally.

The location of B is (-7,2)