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There are different criteria for the two triangles to be congruent.

1. SSS (Side-Side-Side) criterion If three sides of one triangle are equal to the three sides of
another triangle, then the two triangles are congruent.
2. SAS (Side-Angle-Side) criterion Two triangles are congruent, if two sides and the included
angle of a triangle are equal to the two sides and the included angle of the other triangle.
3. ASA (Angle-Side-Angle) criterion Two triangles are congruent, if two angles and the
included side of one triangle are equal to the two angles and the included side of the other
triangle.
4. RHS (Right angle-Hypotenuse-Side) criterion If in two right triangles, the hypotenuse and
one side of one triangle are equal to the hypotenuse and one side of the other triangle, then
the two triangles are congruent.

Procedure

1. Take a cardboard of suitable size and by using adhesive, paste a white paper on it.

2. Cut out a pair of ΔABC and ΔDEF from glazed paper such that AB = DE, BC = EF and AC = DF.
(see Fig. 14.2)

3. Make a pair of ΔGHI and ΔJKL on glazed paper such that GH = JK, Gl = JL and ∠G = ∠J and cut
them out. (see Fig. 14.3)