sebastion says <B = <F because they are both on endpoints of their respective traqingles

Question

aisha says <G = <C because both letters are in the middle of their respective traingles
connor says <H = <P because both letters are closest to the congruency sign in their respective traingles.
which student is correct in their reasoning?
a. none of the answers are correct
b. aisha
c. connor
d. sebastian

Answer 1

To evaluate the statements of the students, we need to consider the notation and properties of triangles:

1. Sebastian's statement (<B = <F): If <B and <F are angles at the endpoints of their respective triangles, this statement does not provide enough information to determine if the angles are equal. The angles at the vertices of a triangle can be different, unless it is specified that the triangles are congruent. Therefore, Sebastian's reasoning is not necessarily correct.

2. Aisha's statement (<G = <C): Just because both <G and <C are in the middle of their respective triangles does not mean they are equal either. Similar reasoning applies here; without additional information about the triangles' congruence or equality, Aisha's conclusion is not warranted.

3. Connor's statement (<H = <P): Connor states that <H and <P are closest to the congruency sign in their respective triangles. This could imply that they are corresponding angles in congruent triangles, which would make his reasoning valid if the triangles are congruent.

Based on the details given, Connor appears to have the most sound reasoning because corresponding angles in congruent triangles are equal. If we assume that the triangles in question are congruent, his statement would be valid.

Therefore, the best answer would be: c. connor