Answer with explanation:
When a point is reflected across either through x or y axis ,then perpendicular distance of that point from x or y axis called Preimage is equal to perpendicular distance of that point from x or y axis called image.
When a point is reflected through x axis or y axis,it totally depends on which quadrant the point is lying.
If point(a,b) is lying in first Quadrant ,and then we have to find it's reflection across x axis and y axis then coordinate of image point will be ,which will lie in fourth Quadrant and second quadrant respectively ,will have coordinates (a,-b) and (-a,b) respectively.
These are rules of reflection across x and y axis of point(a,b),where a and b are positive real number
[tex](a,b)_{x}=(a,-b)\\\\(a,b)_{y}=(-a,b)\\\\(-a,b)_{x}=(-a,-b)\\\\(-a,b)_{y}=(a,b)\\\\(-a,-b)_{x}=(-a,b)\\\\(-a,-b)_{y}=(a,-b)\\\\(a,-b)_{x}=(a,b)\\\\(a,-b)_{y}=(-a,-b)[/tex]
Using the Same rule when point (4,3) is reflected around x and y axes
[tex](4,3)_{x}=(4,-3)\\\\(4,3)_{y}=(-4,3)[/tex]
