Question

In the adjoining figure, two lines AB and CD intersect
each other at the point O such that BC || DA and BC
= DA. Show that O is the mid-point of both the line
segments AB and CD.
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Answer 1

Step-by-step explanation:

BC||AD........(given)

BC=AD .......(Given)

In ∆AOD and ∆BOC,

AD=BC .....(given)

angle AOD =angleBOC.........(opposite angles are congruent)

angleOAD=angle OBC.......(alternate angles are congruent)

:.∆AOD =∆BOC.....(by AAS test)

Point o =point o ....( common Point)(I)

:.The midpoint of seg AB and seg CD is O....(from I)

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