Answer:
25) G
26) H
27) D
28) A
29) E
30) B
31) C
Explanation:
I'm not very sure how to explain all this but I'll try my best.
#25:
It's given and there's nothing else to it.
#26:
For this the definition of perpendicular lines is lines that cross and create right angles.
#27:
These angles are the right angles that we just proved in the last step and all right angles are congruent.
#28:
It's given and there's nothing else to it.
#29:
The given in the last step just mentioned that segment IF bisects <HIG which means it split them into two congruent angles.
#30:
The reflexive property is usually when one angle or side is overlapped by the other shape. So they share the same side or angle and that makes them congruent.
#31:
We just proved that the two triangles are the same by ASA.