Answer:
rotation
by rotating the figure clockwise 180 degrees you would get the same thing as reflected it over the x and then the y axis
In most cases; when an object is transformed, the orientation and layout of the object changes. The one transformation that will accomplish this is 180 degrees rotation.
Let the point on the figure be (x,y)
When reflected over the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
When reflected over the y-axis, the transformation rule is:
[tex](x,y) \to (-x,y)[/tex]
This means that:
[tex](x,-y) \to (-x,-y)[/tex]
So, the reflection is:
[tex](x,y) \to (x,-y) \to (-x,-y)[/tex]
The single transformation that can achieve this is: rotation by 180 degrees.
The rule of transformation is:
[tex](x,y) \to (-x,-y)[/tex]
Hence, one transformation that would accomplish the reflections is: 180 degrees rotation.
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