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

Question

.

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
Conner

Aisha
Aisha

Sebastian
Sebastian

None of the answers are correct

Answer 1

None of the answers are correct.

The correct reasoning for showing that triangles ΔBGH and ΔPCF are congruent (ΔBGH≅ΔPCF) involves understanding how angle correspondence works based on the naming of the triangles.

In triangle congruence statements, the order of the letters represents corresponding angles and sides. Thus:

• ∠B corresponds to ∠P
• ∠G corresponds to ∠C
• ∠H corresponds to ∠F

Based on this correspondence, neither Sebastian, Aisha, nor Connor identified the correct pairs of angles. Therefore, the answer would be "None of the answers are correct."