CORE Coordinate Geometry and Transformations - New Indian ...

So, AB = A‟ B‟
Similarly, BC = B‟C‟
and CA = C‟A‟
Hence ABC A‟B‟C‟ (SSS)
A figure obtained by the translation of any figure through a fixed distance in a fixed
direction is always congruent to the original figure.
Suggested Activity: Take some geometric figures like, triangle, square, rectangle with
given vertices and show that figures obtained under different transformations
(reflection, rotation and transformation) are always congruent to the original figures.
In some cases, coordinates of each point (x, y) of figure are transformed into the form
x
y
kx
ky
i.e, (x, y)
(kx, ky)
where k is a positive number, called a scale factor.
If k>1, say 2, then new figure so obtained under this transformation is called an
enlargement of the original figure.
If k