Sebastian, Aisha, and Conner are analyzing the statement ABGH = APC*.

Question

Sebastian says LB * LF because they are both on endpoints of their respective triangles.
Item 2
Aisha says LG - LC because both letters are in the middle of their respective triangles.
Item 3
Conner says ZH = LP because both letters are closest to the congruency sign in their respective triangles.
Item 4
Which student is correct in their reasoning?
Item 5
(1 point)
Item 6
• Conner

• Aisha
• None of the answers are correct.
• Sebastian

Answer 1

To analyze the statement \( ABGH = APC* \), we need to evaluate the reasoning of each student based on the properties of congruent triangles.

1. Sebastian's statement: He claims \( LB * LF \) because they are both endpoints of their respective triangles. This reasoning does not apply well to the context of triangles and congruence. Being endpoints does not guarantee any congruence relationship between the segments. Hence, Sebastian is not correct.

2. Aisha's statement: She states \( LG - LC \) because both letters are in the middle of their respective triangles. This reasoning is unclear and seems to misinterpret the relationship needed to establish congruence. The relationship should be based on equal corresponding parts, not subtraction. Thus, Aisha is not correct either.

3. Conner's statement: He claims \( ZH = LP \) because both letters are closest to the congruency sign in their respective triangles. This reasoning, while somewhat informal, can imply that he recognizes \( ZH \) corresponds to \( LP \) as parts of the congruent triangles. The approach is somewhat valid, assuming \( ZH \) and \( LP \) correspond to sides or angles in the context of \( ABGH \) and \( APC* \).

Given these analyses, Conner is the most reasonable in his understanding of triangle congruence, even if his reasoning could use clearer justification.

Therefore, the correct answer is:

• Conner