Question

is the reflection of a figure in the x axis equivalent to the rotation of that same figure 180° (clockwise) about the origin?

Answer 1

The reflection across x-axis has the following rule applied

`(x,y)\rightarrow(x,-y)`

The rotation of 180° about the origin has the rule

`(x,y)\rightarrow(-x,-y)`

In this case, the new image are not the same, that is to say

Therefore, they are not the same.