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Definition of Congruent Triangles
Triangles with congruent corresponding sides and congruent corresponding angles

SSS
If the sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent

SAS
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

ASA
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

AAS
If two angles and a nonincluded side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

HL
If the hypotenuse and leg of one triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent

CPCTC
Corresponding parts of congruent triangles are congruent

