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When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)
In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.
The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.
False