~ can someone plz check my work~
G: PA perp AB
PA perp AC

Question

~ can someone plz check my work~
G: PA perp AB 
PA perp AC 
<B not cong <C
P: AB cong AC
MY work:
assuming PA cong PA by reflexive prop
triangle BAP cong triangle CAP by AAS. But this is impossible since we are given <B not cong <C.
Therefore triangle BAP cong triangle CAP by SAS. 
AB cong AC by CPCTC

daisy.xoxo619 · Answer

|dw:1404883417038:dw|

mathstudent55 · Answer

Is your "prove" statement incorrect?

mathstudent55 · Answer

If you are proving a negative, you need an indirect proof.

daisy.xoxo619 · Answer

opps .yes it is

daisy.xoxo619 · Answer

P: AB not cong AC

mathstudent55 · Answer

Ok, that makes more sense now.

anonymous · Answer

Let's assume that BAP is cong to CAP by SAS, then by CPCTC <PBA should be cong to <PCA. But they are saying that <PBA is not cong to <PCA. So, BAP and CAP are not congruent. That is AB is not cong to AC.

mathstudent55 · Answer

Assume <B cong <C
PA cong PA by reflexive prop
<PAB & <PAC are right angles by def of perp lines
<PAB cong <PAC bec all right anlges are cong
triangle BAP cong triangle CAP by AAS
seg AB cong seg AC by CPCTC
But we are given <B not cong <C,
therefore, triangle BAP not cong triangle CAP
and AB not cong AC

daisy.xoxo619 · Answer

@ShailKumar &
@mathstudent55 
Thank you so much for your guys time. I appreciate it. I think Im getting the hang of indirect proofs

mathstudent55 · Answer

wlcm