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Side-Side-Side (SSS)
If all three pairs of corresponding sides have equal lengths, then the triangles are congruent.

Side-Angle-Side (SAS)
If two pairs of corresponding sides have equal lengths and the angles between them (the included angle) are equal, then the triangles are congruent

Angle-Side-Angle
If two angles and the side between them in a triangle are congruent to the corresponding angles and side in another triangle, then the triangles are congruent.

Angle-Angle-Side
If two pairs of corresponding angles and a pair of corresponding sides that are not between them have equal measures, then the triangles are congruent.

Hypotenuse Leg
If the hypotenuse and a leg of one right triangle have the same lengths as the hypotenuse and a leg of another right triangle, the triangles are congruent.