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Which statement correctly names the congruent triangles and justifies the reason for congruence?

A. Triangle BAC is congruent to triangle FDE by HL

B. Triangle BAC is congruent to triangle DEF by HL

C. Triangle BAC is congruent to triangle FDE by AAS

D. Triangle BAC is congruent to triangle DEF by AAS

Which statement correctly names the congruent triangles and justifies the reason for congruence A Triangle BAC is congruent to triangle FDE by HL B Triangle BAC class=

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Answer:

  C. Triangle BAC is congruent to triangle FDE by AAS

Step-by-step explanation:

BAC names the vertices in the order longest-side, shortest-side. That same order is FDE in the other triangle, eliminating choiced B and D. The triangles are not right triangles, eliminating choice A.

The only viable answer choice is C.

No specific sides are shown as being congruent, but two angles are, so we could claim congruence by ASA or AAS. Answer choice C uses the latter.

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