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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 4 years, 11 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Yogita Ingle 4 years, 11 months 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 4 years, 11 months 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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