If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.

If two angles and non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent. Angle-Angle-Side (AAS) Congruence Postulate If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.ģ. Angle-Side-Angle (ASA) Congruence Postulate If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.Ģ. Side-Angle-Side (SAS) Congruence Postulate ΔABC ≅ ΔFGH Other Triangle Congruence Postulates and Theoremsġ. Here ( x 1, y 1) = G(1, 2) and ( x 2, y 2) = H(6, 5)Īll the three pairs of corresponding sides are congruent. Use the distance formula to find the lengths of BC and GH. Because AB = 5 in triangle ABC and FG = 5 in triangle FGH,īecause AC = 3 in triangle ABC and FH = 3 in triangle FGH,

Sas postulate definition geometry