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Q-8. Line-segment AB is parallel to …

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Q-8. Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD. Show that (I) ∆AOB = ∆DOC (II) O is also the mid-point of BC.

Posted by Arun Kushwah 5 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Yogita Ingle 5 years, 1 month ago

In △AOB and △DOC

∠BAO=∠CDO (alternate angles as AB∥CD and BC is the transversal)

∠AOB=∠DOC(vertically opposite angles)

OA=OD(given)

∴△AOB≅△DOC by ASA rule.

1Thank You

Meenkashi Singh 5 years, 1 month ago

Given: AB is parallel to another line segment CD. O is the midpoint OF AD In ΔAOB and ΔDOC ∠AOB=∠COD ...(Vertically opposite angle ) ∠BAO=∠CDO ...(Given AB parallel to DC and AD meet both lines so alternate angles are equal) AO=OD ....(O is the midpoint of AD ) ΔAOB≅ΔDOC ...ASA test So, BO=CO Then, O is the midpoint of BC.

1Thank You

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