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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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Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
Isosceles Triangle - 2 congruent sides Equilateral Triangle - all three sides are congruent Scalene triangle - no sides are congruent
A scalene triangle does not have congruent sides but one, two or three of its sides can be congruent to those of another scalene triangle.
If it's an equilateral triangle then its 3 sides are congruent but if it's an isosceles triangle then only 2 of its sides are congruent
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle