Mathematics
The point P(-5, 15) is reflected in origin to point Q. And point Q is then rotated through 90° about origin in the clockwise direction to get point R. Write the co-ordinates of points Q and R.
Answer
When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of P(-5, 15) in origin = Q(5, -15).
When a point (x, y) is rotated through 90° (clockwise) about the origin O, we get the point = (y, -x).
For the point Q(5, -15), after rotation of 90° (clockwise) about the origin O, we get the point R(-15, -5).
Hence, the co-ordinates of points Q and R are (5, -15) and (-15, -5), respectively.
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