Question

Sebastian, Aisha, and Conner are analyzing the statement ΔBGH≅ΔPCF
.

Sebastian says ∠B≅∠F
because they are both on endpoints of their respective triangle names.

Aisha says ∠G≅∠C
because both letters are in the middle of their respective triangle names.

Connor says ∠H≅∠P
because both letters are closest to the congruency sign in the statement.

Which student is correct in their reasoning?

(1 point)
Responses

Conner

Aisha

Sebastian

None of the answers are correct

Answer 1

Aisha.

In a congruence statement the vertices match in order: B↔P, G↔C, H↔F. So ∠G ≅ ∠C is correct; the others are incorrect.