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Instruction
Active
Writing a Rule for a Rotation
Try it
What rule describes the rotation about the origin?
C'
(x, y)
4
tated about the
✓
2
A'
B'
(y, -x)
-4
-2
2
(-y, x)
B
A
-2
(-x-y)
(x, y)​

InstructionActiveWriting a Rule for a RotationTry itWhat rule describes the rotation about the originCx y4tated about the2ABy x422y xBA2xyx y class=

Respuesta :

Answer: Choice C.  (-x, -y)

Explanation:

Focus on one point, such as A = (1,2). Note how it moves to point A ' = (-1, -2). Both x and y coordinates have been flipped from positive to negative. The rule therefore is [tex](x,y) \to (-x,-y)[/tex]. This describes a 180 degree rotation (either clockwise or counterclockwise, it doesn't matter). Points B and C follow the same idea.

Side note: Lines AA', BB' and CC' all go through the origin (0,0).

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