CORE Coordinate Geometry and Transformations - New Indian ...

Thus, AB = A‟ B‟
Similarly, we can see that
BC = B‟ C‟
and CA = C‟ A‟
Thus, ABC A‟ B‟ C‟ (SSS)
again
A” B” = =
Thus A” B” = AB =
Similarly, we can see that
C” A” = CA and B” C” = BC
Thus, AB = A” B”, BC = B” C” and CA = C” A”,
ABC
A” B” C” [SSS]
A figure obtained by any reflection is always congruent to the original figure.
Translation
There is yet another geometric transformation known as translation.
A translation is a transformation that translates each point in the plane through a
fixed distance in the fixed direction. Its effect on a particular figure in a plane is that
it moves in a fixed direction without changing its shape and size.
Thus, here also, any figure obtained after the translation will be congruent to the
original figure.
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