Finding a mistake in proofs
I have a question here and it gives me what appears to be an isosceles triangle ABC with B being the top vertex. He needs to prove BCD is congruent to BAD. So, he set up his proofs like this:
1 BCA congruent to CAB (Given)
2 Construct BE as a perpendicular bisector (Construction)
3 m

Question

Finding a mistake in proofs
I have a question here and it gives me what appears to be an isosceles triangle ABC with B being the top vertex. He needs to prove BCD is congruent to BAD. So, he set up his proofs like this:
1 BCA congruent to CAB (Given)
2 Construct BE as a perpendicular bisector (Construction)
3 m<CEB = 90 (Def perp bisector)
4 m<AEB = 90 (Def perp bisector)
5 CE congruent to DA  (Def perp bisector)
6 BC congruent to BA (CPCTC)
6 <CDB congruent to <ADB (Subt. prop. of equality)
7 triangle BCE congruent to triangle BAE (ASA)

What where his 2 mistakes?

mathstudent55 · Answer

Is there a figure?
Also what is given and what are you trying to prove?

aaronrocky · Answer

I typed the question poorly, one second while I update it

aaronrocky · Answer

@mathstudent55 I updated the question for better understanding, I also do have a picture if that will help

aaronrocky · Answer

I am thinking #6 is one wrong

aaronrocky · Answer

I figured it out.... #6 was trying to use CTPCT before a triangle was proven congruent, and #8 should be SSS

mathstudent55 · Answer

I see you already answered the question. I can't check on your answer because I still don't know where points D and E are. Also, I don't know what was given and what is being asked to be proved.

aaronrocky · Answer

@mathstudent55 it's fine haha, also thats all it gave me no points on the picture it gave