Question

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

Answer 1

In the statement △BGH≅△PCF, the corresponding angles and sides are determined by the order of the letters. The triangles are congruent, which means that:

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

Now let's evaluate each student's reasoning:

1. Sebastian claims ∠B≅∠F because they are both on endpoints of their respective triangles. This is incorrect, as ∠B corresponds to ∠P, not ∠F.

2. Aisha states ∠G≅∠C because both letters are in the middle of their respective triangles. This is correct because ∠G does indeed correspond to ∠C.

3. Conner claims ∠H≅∠P because both letters are closest to the congruency sign in their respective triangles. This is incorrect, as ∠H corresponds to ∠F, not ∠P.

Therefore, the student who is correct in their reasoning is Aisha.