In congruent shapes or congruent figures we will learn how to recognize that when two shapes or figures are congruent.
The two figures which are same shape and same size are called congruent figures and the relation of two figures being congruent is called congruence.
The symbol to denote congruence is ≅.
Two line segments are congruent if both have the same length.
Congruent line segments
Two circles are congruent if both of them have the same radii.
Two triangles are congruent if both of them have the same length of sides.
Two rectangles are congruent if both of them have the opposite sides are equal.
Two squares are congruent if both of them have the same edges.
Thus, the method of comparing two figures is known as the method of superposition.
Congruent or Similar
Two geometrical shapes which are identical in shape and size are said to be congruent. We use the symbol ‘≅’ to denote congruence.
(i) Two circle of same radii.
(ii) Two line segments of same length.
Geometrical shape which have same shape but different size are called similar shape or figure. We use the symbol ‘~’ to denote similarly.
(i) Two circle of different radii.
(ii) Two line segments of different measure.
Note: Two congruent figures are always similar but two similar figures may not be congruent.