Sebastian, Aisha, and Conner are analyzing the statement △BGH≅△PCF .

Question

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

Sebastian
Sebastian

None of the answers are correct.
None of the answers are correct.

Conner

Answer 1

The correct choice is None of the answers are correct.

Here's why:

• Sebastian's reasoning is flawed because being at the endpoints of triangles does not guarantee that angles are congruent. The positions of the angles in relation to their triangles do not indicate congruency.

• Aisha's reasoning is also incorrect because the position of the letters (being in the middle of a triangle) does not imply congruency either. What matters is the congruency of the corresponding angles based on the congruence of the triangles.

• Conner's reasoning is not valid because proximity to the congruency sign does not determine the congruence of angles.

To determine angle congruency, you would typically use criteria like corresponding angles, alternate interior angles, etc., based on properties of the triangles being considered, not their positional nomenclature in the triangles.

Thus, none of the students correctly reasoned about the congruency of the angles based on the information given.