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ivann1987 [24]
3 years ago
4

Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

Answer:

A' (-1, 3)

Step-by-step explanation:

A shape has symmetry if we are unable to distinguish it from its transformed image. A shape has rotation symmetry if there exists a rotation less than 360° that carries the shape onto itself. Which means that if you can rotate a shape less than 360° about some point and the shape looks like it never moved, it has rotation symmetry.

A rectangle is an example of rotation symmetry because if we rotate a rectangle at 180° about its center, it looks exactly the same. However, the points diagonal with each other are exchanged.

So, when the given rectangle is rotated 180° , the tranformed rectangle has the point A' at the same location of point C of the orginal shape.

So coordinates of A' are (-1, 3)

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