Why is AAA is not a criterion for congruence of triangle?
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An equilateral triangle with side 3 cm and another with 5 cm have equal angles but they are not congruent.
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Four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.
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