RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.
Given that, parallelogram RSTU is rotated 180° clockwise about the origin.
We need to find how many pairs of parallel sides the rotated figure has.
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in an anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
The given transformation was performed on parallelogram RSTU = 180° clockwise rotation.
Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the shape and size of the image R'S'T'U'.
Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.
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