Write a proof that AC = BD.

Question

anonymous · Answer

attachment

mathstudent55 · Answer

I can't see the file.

anonymous · Answer

Angle BAB is congruent to angle CBA:Given. angle CAB is congruent to angle DBA(since they're both right triangles:Also given. BA=AB.AB:Reflexive property. The two triangles are congruent:AAS congruence

anonymous · Answer

AC=BD:CPCTC

anonymous · Answer

Someone please correct me if that isn't a complete proof.

anonymous · Answer

Hold on, Angle BAD is congruent to angle CBA, sorry.

anonymous · Answer

So, BA=AB is reflexive property? Or would it be AB=AB?

anonymous · Answer

I think it'd be AB=AB, actually. For reflexive.

anonymous · Answer

Awesome! Thanks. :)

mathstudent55 · Answer

@Shaunticlair 
Your proof is very good. I did notice it should read 
1. Angle BAD is congruent to angle CBA:Given
where you wrote BAB by mistake, but you corrected it later.

Also, there is one small error.
The triangles are congruent by either ASA or LA (for right triangles), not by AAS.

AB = AB or AB = BA are both correct by reflexive.