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Congruent Triangles

Definition: Triangles are congruent when all corresponding sides and interior angles arecongruent. The triangles will have the same shape and size, but one may be a mirror image of the other.

In the simple case below, the two triangles PQR and LMN are congruent because every corresponding side has the same length, and every corresponding angle has the same measure. The angle at P has the same measure (in degrees) as the angle at L, the side PQ is the same length as the side LM etc.Try this Drag any orange dot at P,Q,R. The other triangle LMN will change to remain congruent to it.(If there is no image below, see support page.)

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Q: Are sides on a triangle congruent?
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