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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.
Yes, triangle SAM is congruent to triangle DEL if the corresponding sides and angles are equal. This can be established using the Side-Angle-Side (SAS) Congruence Postulate, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are congruent. Alternatively, if all three sides of both triangles are equal, the Side-Side-Side (SSS) Congruence Theorem can also be applied.
When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)
No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle