Symmetry

Question

The given point (-2,9) lies on the graph that is symmetric about x-axis, y-axis, and origin. State the other points that must also lie on the graph

Answer

We are given one point namely (-2,9) and are told that its ‘symmetric’ to certain ‘axis’.

Just draw a sketch on a paper and you will better see the results below. I want to avoid using complicated equations and solutions.

(-2,9) symmetric to x – axis means the symmetrical point to this point is ( -2, -9 )

(-2,9) symmetric to y – axis means the symmetrical point to this point is ( 2, 9 )

(-2,9) symmetric to the origin ( 0,0 ) means the symmetrical point to this point is ( 2, -9 )