its a shortcut to tell whether two triangles are congruent to each other or not its a shortcut because you can tell it without having to use geometric tools. There are Four types of them SAS (side angle side) ASA (angle side angle) SSS (side side side) and SAA ( side angle angle), in first one , if two sides and one included angle is congruent to two side and one included angle of another triangle then both triangle are congruent to each other. Second is ASA,, if two angles and one included side are congruent to two angles and one included side of another triangle then they both are congruent to each other. and so on like other one's too (hope you understand my point here). only two cases are not possible here and those are ASS (angle side side) because its not necessary if one angle and two sides are congruent to something then they will be congruent to each other , and the other false statement is AAA (angle angle angle) you could easily have one really small triangle with the same angles of a really big triangle but they will not be congruent so this conjecture would not work.
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It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
triangle sum conjecture is the sum of the measures of the angles in every triangle is 180 degrees
A triangle having 3 congruent sides is an equilateral triangle
right triangle
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