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I need help with finding what pairs are congruent and what pairs are not

I need help with finding what pairs are congruent and what pairs are not-example-1
User Mmurphy
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There are four congruence theorems that helps us prove that two triangles are congruent:

SAS -> Side-Anlge-Side

SSS -> side-side- side

ASA ->Angle-side-Angle

AAS -> Angle-side-angle

In the given figures, you can see that the first triangles have 2 pairs of corresponding angles and one non-included pair of corresponding sides, then by AAS, we can say that these triangles are congruent and then ΔABC ≅ ΔEFD

For the second pair of triangles, two pairs of angles are congruent but they are not necessarily congruent since any of the theorems is met.

For the third pair of triangles, we can see that they have three pairs of congruent sides, then by SSS theorem we can prove that these triangles are congruent and then ΔGHI ≅ ΔKLJ

User Jeremy Goodell
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