Question

Is triangleAOB = triangleCOD?
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Answer 1

Answer:

Yes. Triangle AOB is congruent and also similar to the triangle COD. It is by AAA test. Angle AOD=angle COD(opposite angles) and angle ODC= angle OBA, angle OCD= angle OAB(alternate angles).

Answer 2

Answer:

In triangle AOB and COD

AB = CD ( opposite sides of parallelogram are equal)

angle AOB = angle DOC (vertically opposite angle are equal)

AO = OC and BO = OD (diagonals of a parallelogram bisect each other)

So triangle AOB = triangle COD ( by S.A.S)

Hope it helpzz...