Question

Prove the following using ASA congruency method.

Answer 1

In triangle CAO and triangle BOD

=> angle COA= angle BOD

(Vertical Opposite Angles)

AC||BD

therefore,

angle CAO= angle DBO(alternate angles)

AC=BD

$\therefore{by \: ASA \: \triangle \: CAO = \triangle \: BOD}$

$\therefore{by \: CPCT}$

AO=OB

and,

CO=OD

Answer 2

Answer:

In triangle CAO and triangle BOD

=> angle COA= angle BOD

(Vertical Opposite Angles)

AC||BD

therefore,

angle CAO= angle DBO(alternate angles)

AC=BD

AO=OB

and,

CO=OD