Congruency of Triangles | Definition of Congruent Triangles

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Two triangles are said to be congruent if they are exactly alike
in all respects. If one triangle is placed on the other, the two triangles will
coincide exactly with each other, i.e., the vertices of the first triangle will
coincide with those of the second. In a pair of congruent triangles, the sides
opposite to equal angles are known as corresponding sides and the angles
opposite to equal sides are known as corresponding angles.

Congruence of Triangles

Here, in ∆KLM and ∆XYZ, ∠K = ∠Z, ∠L = ∠X and ∠M = ∠Y.

Also, KL = ZX, LM = XY and KM = ZY.

As the two triangles are exactly equal in all respects, they
are congruent.

Symbolically, we write ∆KLM ≅ ∆XYZ.

Congruent triangles are equal in area.


9th Grade Math

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