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

Answer 1

In the statement △BGH≅△PCF, we can analyze the congruences between the corresponding angles as follows:

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

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

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

• Aisha claims that ∠G≅∠C because both letters are in the middle of their respective triangles. This is also incorrect as ∠G corresponds with ∠C, but her reasoning is not typically used in the context of congruency.

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

Given this analysis, none of the students is correct in their reasoning regarding the corresponding angles. Therefore, the correct response is: None of the answers are correct.