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)

Aisha
Aisha

Conner
Conner

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

Sebastian

Answer 1

None of the answers are correct.

The reasoning for the angles being congruent in triangles △BGH and △PCF should be based on corresponding angles based on triangle congruence criteria (like Side-Angle-Side, Angle-Side-Angle, etc.) or relationships established through parallel lines, not their positions as suggested by the students. The specific congruence of angles would generally need to be established through known congruence criteria rather than the positional associations they mentioned.