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 None of the answers are correct. None of the answers are correct. Aisha Aisha Conner Conner Sebastian Sebastian Skip to navigation

Answer 1

To determine which student's reasoning is correct regarding the congruent triangles △BGH and △PCF, we need to analyze the angles based on the triangle congruence statement.

The statement △BGH≅△PCF indicates that:

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

Now let's evaluate each student's reasoning:

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

   • This reasoning is incorrect. ∠B corresponds to ∠P, not ∠F.

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

   • This reasoning is correct. ∠G indeed corresponds to ∠C, which is consistent with the triangle congruence.

3. Conner says ∠H≅∠P because both letters are closest to the congruency sign in their respective triangles.

   • This reasoning is incorrect. ∠H corresponds to ∠F, not ∠P.

Therefore, the correct answer is Aisha, as her reasoning aligns with the definitions of the angles in the corresponding triangles based on congruence.