Sebastian, Aisha, and Conner are analyzing the statement 

ΔBGH≅ΔPCF
Δ
𝐵
𝐺
𝐻

Δ
𝑃
𝐶
𝐹
.
sebastian says b =f because there both on endpoints of there triangles is he correct

No, Sebastian is not correct. The fact that "b" and "f" are both endpoints of their respective triangles does not necessarily mean that they are equal. Just because two points have the same name or label does not automatically make them equal. In order to prove that "b" and "f" are equal, you would need additional information or congruence relationships within the triangles.