Rectangle Rotation in Coordinate Plane

Medium Geometry And Measurement Transformations

In the coordinate plane, a rectangle is defined by the points A(1, 1), B(1, 4), C(4, 4), and D(4, 1). If this rectangle is rotated 180 degrees around the origin, what will be the coordinates of the new vertices?

Consider each vertex and apply the rotation transformation accordingly.

A'(-1, -1), B'(-1, -4), C'(-4, -4), D'(-4, -1)

A'(-1, 1), B'(-1, 4), C'(-4, 4), D'(-4, 1)

A'(-1, -1), B'(-1, -4), C'(-4, -1), D'(-4, -4)

A'(-1, 4), B'(-1, 1), C'(-4, 1), D'(-4, 4)

A'(-4, -1), B'(-4, -4), C'(-1, -4), D'(-1, -1)

Hint

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