What can be concluded about a pair of triangles with some congruent corresponding parts? Select all that apply.
The pair of triangles is always congruent.
The pair of triangles is never congruent.
The pair of triangles is sometimes congruent.
Insufficient information.
The two triangles are sometimes congruent.
Congruency in triangles refers to the property where the triangles are similar to each other. If two triangles have the same shape and size, the triangles are said to be congruent with each other.
In case of congruent triangles, either
1) all three sides can be same (side side side theorem),
2) or two corresponding sides and the angles between them can be same (side angle side theorem),
3) or two angles and the side between them can be same (angle side angle theorem)
4) or two corresponding angles and the corresponding side (not between them) can be same
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