Pentagon ABCDE is shown on the coordinate plane below:

Pentagon on coordinate plane with ordered pairs at A negative 2, 4, at B negative 6, 2, at C negative 5, negative 2, at D 1, negative 2, at E 2, 2 .

If pentagon ABCDE is rotated 180° around the origin to create pentagon A'B'C'D'E', what is the ordered pair of point D'?

Question

Pentagon ABCDE is shown on the coordinate plane below:

Pentagon on coordinate plane with ordered pairs at A negative 2, 4, at B negative 6, 2, at C negative 5, negative 2, at D 1, negative 2, at E 2, 2 . 

If pentagon ABCDE is rotated 180° around the origin to create pentagon A'B'C'D'E', what is the ordered pair of point D'?

anonymous · Answer

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anonymous · Answer

The rule for a 180 degree rotation is (x,y) -> (y,x)

So if D is at (1, -2) then D' would be at (-2, 1)