Question

3. The point P(3,5) is rotated 90° clockwise

Answer 1

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.