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Sagot :
Answer:
Step-by-step explanation:
statement Reason
in ΔAOB and ΔCOD
BO=DO (∵AC bisects BD)
AO=CO (∵BD bisects AC)
∠AOB=∠COD (Vertically opposite angles)
ΔAOB≡ΔCOD (SAS )
∴∠A=∠C
Answer:
i havent done proofs in a while so i hope this makes sense? you should read over it and edit it if necessary.
i'm pretty sure it's supposed to be congruent triangles
1) AC bisects BD at O - given
2) AO=OC, DO=OB - def. of bisector (you can write these two seperately for both sides but don't think that's needed)
3) <AOB=<DOC - vertical angles
4) triangle AOB is congruent to triangle COD - SAS
5) <A is congruent to <C - CPCTC (corresponding parts of congruent triangles are congruent)
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