A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
Answer:
The transformed quadrilateral be in second.
Step-by-step explanation:
It is given that a quadrilateral in the third quadrant is rotated 90° clockwise about the origin.
90° rotation clockwise about the origin is defined as
\((x,y)\rightarrow (y,-x)\)
We have total 4 quadrants. If a figure rotated 90° clockwise about the origin, then
Original quartile Transformed quadrilateral
I IV
II I
III II
IV III
Since the quadrilateral in the third quadrant is rotated 90° clockwise about the origin, therefore the transformed quadrilateral be in second.