Answer:
M(-2, 2) N(-3, -1) O(-5, 1)
Step-by-step explanation:
The coordinates switch places (x becomes y, y becomes x). Since the rotation is counterclockwise, the new x value changes its sign (in this case, it turns negative). Therefore, the resulting coordinates are (-2, 2), (-3, -1), and (-5, 1).
The the coordinates of the image triangle M'N'O' after a 90° counterclockwise rotation about the origin of Triangle MNO is M'(2, -2) , N'(3, 1) and O'(5,-1) .
In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees.
According to the question
Triangle MNO has its vertices at the following coordinates:
M(2, 2) N(-1, 3) O(1, 5)
When any figure transformed by 90° counterclockwise rotation about the origin each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
i.e
x = y
y = -x
Now,
To rotate triangle MNO 90° counterclockwise rotation about the origin to form image triangle M'N'O' with points
M(2, 2) = M'(2, -2)
N(-1, 3) = N'(3, 1)
O(1, 5) = O'(5,-1)
Hence, The the coordinates of the image triangle M'N'O' after a 90° counterclockwise rotation about the origin of Triangle MNO is M'(2, -2) , N'(3, 1) and O'(5,-1) .
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