Triangle ABC is congruent to triangle DEF based on the SAS congruence theorem.
What is the SAS Theorem?
The SAS theorem is a triangle congruence theorem that states that two triangles are congruent if they have two pairs of congruent sides that are corresponding to each other, and a pair of congruent included angles.
Triangles ABC and DEF have:
- A pair of congruent included angles - ∠DEF ≅ ∠ABC
- Two pairs of congruent sides - AB ≅ DE and CB ≅ FE
Therefore, they are congruent by SAS.
Learn more about the SAS theorem on:
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