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 Form 2 Mathematics online lessons on rotation

Determining the centre of rotation

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Answer Text:
Determining the centre of rotation
-When an object and its image are given, then to find the Centre of rotation, we proceed as follows:
Illustration.
If triangle ABC in which A (1,1),B(1,5) and C(4,5) is mapped onto A’(-1,1) B’(-5,1) and C’(-5,4)
To find the center of rotation.
-Draw a segment connecting point’s A and A'
-Using a compass, find the perpendicular bisector of this line.
-Draw a segment connecting point’s B and B'.
Find the perpendicular bisector of this segment.
-The point of intersection of the two perpendicular bisectors is the center of rotation.
-Label this point P.


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