CK12 - Geometry

(Marvins-Underground-K-12) #1

  • Applymatrixmultiplicationto rotations.


SampleRotations


In this lessonwe limit our studyto rotationscenteredat the originof a coordinateplane.We beginwith some
specificexamplesof rotations.Laterwe’ll see how theserotationsfit into a generalformula.


Rememberhow a rotationis defined.In a rotationcenteredat the originwith an angleof rotationof a


pointmovescounterclockwisealongan arc of a circle.The centralangleof the circlemeasures The
originalpointis one endpointof the arc, and the imageof the originalpointis the otherendpointof the arc.


180°Rotation


Our first exampleis rotationthroughan angleof.


In a rotation,the imageof is the point.

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