Question

the point K (6,-3) is rotated 180 degrees clock wise around the origin.what are the coordinates of the resulting point K'

Answer 1

Answer:Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

Step-by-step explanation:

Answer 2

Answer:

x' = -6

y' = -(-3) = 3

Step-by-step explanation:

To find the coordinates of the resulting point K' after rotating point K(6,-3) 180 degrees clockwise around the origin, we can use the formula for rotating a point in a coordinate plane.

If a point (x,y) is rotated 180 degrees clockwise about the origin, the new coordinates (x',y') can be found using the following formulas:

x' = xcos(180°) - ysin(180°) = -x

y' = xsin(180°) + ycos(180°) = -y

So, applying these formulas to point K(6,-3), we get:

x' = -6

y' = -(-3) = 3

Therefore, the coordinates of the resulting point K' are (-6, 3). The point K' is located in the third quadrant of the coordinate plane, which is 180 degrees clockwise from the original position of point K in the second quadrant.

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