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Answer:
New coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Step-by-step explanation:
When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(y, -x)
In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(y, -x)
P(3, 5) → P'(5, -3)
Therefore, coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.