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 Aisha Aisha None of the answers are correct. None of the answers are correct. Sebastian Sebastian Conner

Answer 1

To determine which student's reasoning is correct, let's analyze the notation for congruency in triangles.

The statement △BGH≅△PCF indicates that the corresponding angles and sides of the two triangles are congruent.

Based on the congruency statement:

• Angle B corresponds to Angle P.
• Angle G corresponds to Angle C.
• Angle H corresponds to Angle F.

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

• Sebastian's reasoning: He claims ∠B≅∠F, which is incorrect. Angle B corresponds to Angle P, not F.

• Aisha's reasoning: She states ∠G≅∠C. This is correct because Angle G corresponds to Angle C.

• Conner's reasoning: He argues ∠H≅∠P, which is also incorrect. Angle H corresponds to Angle F, not P.

Since Aisha is the only one providing correct correspondence, the answer is Aisha.