Can anybody please help?

Question

anonymous · Answer

attachment

anonymous · Answer

for question 8 is A correct? 
and for question 9 is B correct? 

I am confused for question 10! :(

anonymous · Answer

@RH Both of those answers are correct.

anonymous · Answer

Give the reason for step 6.

A. Transitive Property of Angle Congruence

B. Transitive Property of Segment Congruence

C. Definition of congruent triangles

D. Definition of congruent angles

anonymous · Answer

@genius12 thanks!

anonymous · Answer

@genius12 But what about question 10?

mathmate · Answer

"Common"
This means that both sides of the equal sign represent the same entity.

anonymous · Answer

@RH definition of congruent triangles I believe it would be.

anonymous · Answer

Thanks!!!

anonymous · Answer

yw

mathmate · Answer

Sorry, "common" applies to line 5 and not line 6.

The given proof has redundant steps 3 and 4.
Steps 2 and 5 are sufficient to show congruence with justification ASA (angle-side-angle).
As it is, steps 2 and 3 prove that the triangles are similar, and 4 and 5 show that one or more sides are congruent.  So the justification in step 6 could be:
"similar triangles with at least one side congruent".