Facts that Matter
We know that two geometric figures are said to be congruent, if they have the same shape and the same size. Two geometric figures having the same shape (but not necessarily the same size) are called similar figures.
Two polygons are similar if:
(i) The lengths of their corresponding sides are proportional.
(ii) Their corresponding angles are equal.
I. Two congruent figures are always similar but two similar figures need not to be congruent.
II. All line segments are similar.
III. All equilateral triangles are similar.
IV. All squares are similar.
V. All circles are similar.