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Triangle ABC is congruent to triangle KLM, and triangle DEF is also congruent to triangle KLM. Therefore, triangle ABC and triangle DEF are congruent.

Prove it using the given figure.

Answer :

Final answer:

Triangles ABC and DEF can be proven to be congruent by using the Transitive Property of Congruence.

Explanation:

To prove that triangles ABC and DEF are congruent, we need to show that they have the same shape and size. Given that triangle ABC is congruent to triangle KLM and triangle DEF is congruent to triangle KLM, we can conclude that triangle ABC and DEF are congruent by the Transitive Property of Congruence.

Since triangle ABC and KLM are congruent, and triangle DEF and KLM are congruent, triangle ABC and DEF must also be congruent. This means that their corresponding sides are equal in length and their corresponding angles are equal in measure.

Therefore, triangle ABC and DEF are congruent.

Learn more about Congruent Triangles here:

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