Question

In the given figure, PR is a line segment, a line
segment PQ is parallel to the another line
segment RS and O is the mid-point of QS. Then
prove that
(I) triangle poq is congruent to triangle ros​

Answer 1

Answer:

If you would have given the figure than; it must be more easier to give your answer

Answer 2

Given : PR is a line segment, a line  segment PQ is parallel to the another line  segment RS and O is the mid-point of QS.

To find : prove that  (I) triangle poq is congruent to triangle ros​

Solution:

Comparing   Δ POQ &   Δ RSO

∠POQ = ∠ROS ( Vertically opposite angles)

OQ  = OS    as O is the mid point of QS => OQ =OS = QS/2

∠PQO = ∠RSO  as   PQ ║ RS

=> Δ POQ  ≈ Δ RSO    ( ASA)

QED

Hence Proved

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