If we reflect across the y-axis and then reflect again across the y-axis , it will give result an image that maps onto itself , Option B is the right answer.
What are the rules of Transformations ?
The reflection of the point (x,y) across the x-axis is the point (x,-y), across the y-axis is the point (-x,y). , across the line is the point (y, x)
The 90 degree counterclockwise rotation of a point (x, y) is the point (-y, x)
The 180 degree counterclockwise rotation of a point (x, y) is the point (-x, -y)
The 270 degree clockwise rotation of a point (x, y) is the point (-y, x)
Therefore on application of these rules
For Case A
The point will be (-y , x)
For Case B
The point will be (x,y)
Therefore Option B is the answer.
To know more about Transformations
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