Sebastian, Aisha, and Conner are analyzing the statement △BGH≅△PCF . Sebastian says ∠B≅∠F because they are both on endpoints of their respective triangles. Aisha says ∠G≅∠C because both letters are in the middle of their respective triangles. Conner says ∠H≅∠P because both letters are closest to the congruency sign in their respective triangles. Which student is correct in their reasoning? (1 point) Responses Sebastian Sebastian Conner Conner None of the answers are correct. None of the answers are correct. Aisha

Answer 1

To determine which student is correct in their reasoning about the congruent triangles \( \triangle BGH \cong \triangle PCF \), we need to understand the correspondence of the angles based on the given congruence statement.

In the congruence statement \( \triangle BGH \cong \triangle PCF \), the letters correspond to one another as follows:

• \( B \) corresponds to \( P \)
• \( G \) corresponds to \( C \)
• \( H \) corresponds to \( F \)

Now, let's analyze each student's reasoning:

1. Sebastian says \( \angle B \cong \angle F \). This is incorrect because \( \angle B \) corresponds to \( \angle P \), not \( \angle F \).

2. Aisha says \( \angle G \cong \angle C \). This is incorrect because \( \angle G \) corresponds to \( \angle C \) correctly. But her reasoning is weak as she relies solely on the positions of the letters without directly referring to the congruence.

3. Conner says \( \angle H \cong \angle P \). This is incorrect because \( \angle H \) corresponds to \( \angle F \), not \( \angle P \).

Given the analysis, Aisha is the only student whose angle pair correctly represents the congruency, even if her reasoning lacks clarity. Therefore, the answer is:

Aisha.