1 Answer

Davidbelow · Answer 1 · 2023-01-07T02:53:12+0000

Step-by-step explanation:

A counterclockwise rotation about the origin by 90 degrees rule is:

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

The reflection about the x-axis is:

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

If we take for example point P (-3, -2) we can see it ends at P'(2,3). The counterclockwise rotation about the origin by 90º gives:

$(-3,-2)\rightarrow(2,-3)$

And now with a reflection about the x-axis:

$(2,-3)\rightarrow(2,3)$

Which is point P'

Answer:

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis

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