Please tell question 7

Dear Student
We have two lines AB and CD which intersect each other at O such that BC = AD and BC is parallel to AD.

In triangle OCB and ODA

$A D = B C ∠ O C B = ∠ O D A (a l t e r n a t e int e r i o r a n g l e s) ∠ O B C = ∠ O A D (a l t e r n a t e int e r i o r a n g l e s) S o, Δ O C B ≅ Δ O D A (A S A)$

Therefore by corresponding parts of congruent triangle,

OC = OD

OA = OB

Hence the lines AB and CD bisect each other at O.

Regards

-1

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