Rotation of 180 ° about the origin

Detailed description

In the diagram above, triangle \(ABC\) is rotated 180 ° about the origin:

\(A(1, 2) \rightarrow A^\prime (−1, −2); B(4, 3) \rightarrow B^\prime (−4, −3); C(5, 1) \rightarrow C^\prime (−5, −1)\).

In general, \(P(x,y)\rightarrow P^\prime (−x, −y)\).

Combinations of rotations of 90 °

It is easy to see that two separate rotations of 90 ° in a clockwise direction is the same as rotating by 180 °.