The origin is the point where the axes intersect.

This would be point where x is 0 and y is 0 i.e (0,0)

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

Hope this helps.

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