Question

In the figure AB=CD and 'O' is the midpoint of AC
and BD. Show that traingle AOB is congruent to COD
​

Answer 1

Answer:

ANSWER

In triangles AOC and BOD, we have

AO = BO (O, the midpoint of AB);

∠AOC=∠BOD, (vertically opposite angles);

CO=OD, (O, the midpoint of CD)

So by SAS postulate we have

△AOC≅△BOD.

Hence, AC = BD, as they are corresponding parts of congruent triangles.

solution

Answer 2

it is congruent by sss

Step-by-step explanation:

AB=CD (GIVEN)

ao=oc (since it is mid point of ac and ao and oc are the two parts formed by mid poit o )

bo=do (same reason as above)

~

aob=cod

THANKZZZZZ