Are two congruent polygons always similar?
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Congruent shapes are always similar
The word ‘congruent’ means identical in all aspects..
It is the geometry equivalent of ‘equal’.
Congruent figures have the same size the same angles the same sides and the same shape. They are IDENTICAL!
As a transformation we could say that the image maps onto the figure exactly.
The only things that can be different about congruent shapes are their position and orientation. (and the names of the vertices).
Similar figures have the same angles which means that they have the same shapes but they differ in size. However the sides are still in the the same ratio.
Congruent shapes are always similar but similar shapes are usually not congruent – one is bigger and one is smaller.
In congruent shapes the ratio of the corresponding sides is 1:1.
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