simpson52
Answered

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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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