No. Any three consecutive congruent parts (angle-side-angle or side-angle-side)
make any two triangles completely congruent.
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The three basic types of triangles are equilateral, isosceles, and scalene. An equilateral triangle has three congruent (equal) sides and three sixty-degree angles. An isosceles triangle has two congruent sides and the two angles opposite those sides are also congruent. A scalene triangle has no congruent sides or angles.
Once you have shown that two triangles are congruent you can use CPCTC (corresponding parts of congruent triangles are congruent) to show the congruence of the remaining sides and angles.
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
A scalene triangle has no congruent sides, they are all different lengths.