Are They Congruent?

Geometry Level 1

In triangles A B C ABC and D E F DEF , if we know that A B = E F , B C = D E AB = EF, BC = DE and A B C = D E F \angle ABC = \angle DEF , are the triangles congruent?

Not necessarily so They are always congruent They can never be congruent

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4 solutions

They are congruent! s i d e a n g l e s i d e \color{#D61F06}side-angle-side

Yeah man I know but how

Harsh Chaudhari - 1 year, 8 months ago
Dylan Tams
Nov 3, 2020

If we know that the angles are congruent, then we know that the triangles must be congruent.

No... triangles with congruent angle angles can have different sides. That will make them similar triangles., not congruent triangles.

Adolphout H - 6 months, 3 weeks ago
Eli Ross Staff
Oct 11, 2015

The triangles are certainly congruent because of side-angle-side congruency. Because the two sides, and the angles between them, are congruent, the triangles must be congruent!

Arjun Kinyon
Nov 3, 2020

if ABC=DEF then they are congruent

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