Are two triangles said to be similar only if thier sides are propotional ?????
Answers
no the ratio of their corresponding sides or corresponding angles are equal..
Similar Triangles
Definition: Triangles are similar if they have the same shape, but can be different sizes.
(They are still similar even if one is rotated, or one is a mirror image of the other).
Try this Drag any orange dot at either triangle's vertex. Both triangles will change shape and remain similar to each other.
Triangles are similar if they have the same shape, but not necessarily the same size. You can think of it as "zooming in" or out making the triangle bigger or smaller, but keeping its basic shape. In the figure above, as you drag any vertex on triangle PQR, the other triangle changes to be the same shape, but half the size. In formal notation we can write
One a single line: a triangle symbol, PQR. Then a short horizontal wavy line that mean 'similar'. Then a triangle symbol, P prime, Q prime, R prime
which is read as "Triangle PQR is similar to triangle P'Q'R' ". The letter with a small vertical dash after it such as P' is read as "P prime".