Question

ABCD is a quadrilateral in which AB=CD .Also there is a point O inside the quadrilateral sich that OA=OD and OB=OC .prove that BC||AD

Answer 1

Answer:

Step-by-step explanation:

Given:-abcd is a quadrilateral,AB=CD,OA=OD,OB=OC

to prove:-bc ll ad

Proof:-

  AB=DC                        (given)

OA=OB                                   (given)

OB=OC                            (given)

Triangle OAB≅triangleODC                  (SSS criterion)

∠ABD=∠BDC    (cpct)

∴AB║CD

ABCD is a parallelogram      (quadrilateral having a pair of opp sides                                equal and parallel is a parallelogram)

∴BC║AD   (opp sides of a parallelogram)

Answer 2

thanks bro for question

and also thanks for answer

today i was going to give my test