The image of triangle P after a rotation of 180 degrees about (2,3) is P 1prime, given that P(3,4) determine the coordinate of P 1prime
Question
The image of triangle P after a rotation of 180 degrees about (2,3) is P 1prime, given that P(3,4) determine the coordinate of P 1prime.
Solution
To find the image of a point after a 180-degree rotation about another point, you can use the formula for rotating a point in a plane:
If you're rotating a point (x, y) 180 degrees about another point (a, b), the new point (x', y') is given by:
x' = a - (x - a) y' = b - (y - b)
In this case, you're rotating the point P(3, 4) about the point (2, 3). So you can plug these values into the formula:
x' = 2 - (3 - 2) = 2 - 1 = 1 y' = 3 - (4 - 3) = 3 - 1 = 2
So the image of point P after a 180-degree rotation about (2, 3) is P'(1, 2).
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