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Sagot :
The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).
According to the statement
We have to find that the coordinates of the points in the pre-image..
So, For this purpose, we know that the
Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
From the given information:
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),and C(1, 7).
Then
We need to search out the coordinates of the pre-image A, B and C.
The rule for rotation of 90° about the origin is (x,y) ---> (-y,x).
But we want to seek out the coordinates of the vertices of the pre-image.
So, we'd like to use rule (-y,x) ---->(x,y).
Applying rule,
A'(6, 3) -----> A (3, -6)
B'(–2, 1) -----> B(1, 2)
C'(1,7) -----> C (7, -1).
Therefore, The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).
Learn more about Coordinates here
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