line segment AB is parallel to another line- segment CD .O is the mid point of AD show that .
(1) triangle AOB = triangle DOC
(2) O is also mid - point of BC
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Step-by-step explanation:
In triangle AOB and DOC,
angle OAB =angle ODC (alternate angles on perpendicular lines)
AO=DO (O is the midpoint of AD)
angle AOB= angle DOC (vertically opposite angles)
Therefore,AOB is congruent to DOC BY ASA rule
Therefore,BO=CO (cpct)
Therefore, O is mid point of BC
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