RHS (HL) Congruence Rule: Two right triangles are congruent if the hypotenuse and one side of one triangle are equal to the corresponding hypotenuse and one side of the other triangle. recognize whether SSS, SAS, or RHS can be used to prove that two given triangles are congruent, understand that the condition of congruency for two right. He also shows that AAA is only good for similarity. SSS Congruence Rule: Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle. Sal introduces and justifies the SSS, SAS, ASA and AAS postulates for congruent triangles. SAS Congruence Rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.ĪSA Congruence Rule: Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.ĪAS Congruence Rule: Two triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding angles and the non-included side of the other triangle. If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. However, we do not necessarily need to individually verify that all angle pairs and side pairs match exactly to be sure that two triangles are congruent. If two triangles are congruent, it means that all corresponding angle pairs and sides are the same.
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