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fill in the blank to complete the congruence statement. be sure to use …

Question

fill in the blank to complete the congruence statement. be sure to use all capital letters. your answer should only have three capital letters, nothing else. $\triangle cba cong \triangle$____ your answer

Explanation:

Step1: Identify corresponding angles and sides

In congruent triangles, corresponding angles and sides are equal. By observing the markings (angle and side congruence marks) on the triangles:

  • The angle with one arc in \(\triangle CBA\) corresponds to the angle with one arc in the other triangle.
  • The angle with two arcs in \(\triangle CBA\) corresponds to the angle with two arcs in the other triangle.
  • The side with one mark in \(\triangle CBA\) corresponds to the side with one mark in the other triangle.

Step2: Match the vertices

Vertex \(C\) in \(\triangle CBA\) corresponds to vertex \(F\) (based on the angle with three - arc marking).
Vertex \(B\) in \(\triangle CBA\) corresponds to vertex \(D\) (based on the side - mark and angle - mark correspondence).
Vertex \(A\) in \(\triangle CBA\) corresponds to vertex \(E\) (based on the remaining angle and side correspondences).

Answer:

FDE