Q: Is abc def if so name which similarity postulate or theorem applies?

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None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.

Pythagorus did hints the name "Pythagoream Theorem."

The Pythagorean theorem gets its name from the ancient Greek mathematician Pythagoras. He was one of the first to offer proof of the theorem.

The theorem emulates the action of a hinge. As the angle of the hinge is increased the distance between the free edges increases.

Pythagoras

Related questions

similar - AA

cannot be determined

None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.

SAS

not congruent

Congruent - SAS

congruent - asa

Congruent - SSS

Might not be congruent

not congruent

yes

APEX Congruent-SAS