Which angle of POQ corresponds to - OSR of ROS -A- - POQB- - OQPC- - QPOD- None of the above

The correct option is B ∠OQPConsider triangles, nbsp;POQ and nbsp;ROS, wherein PO = RO = 4 cm, ∠POQ = ∠ROS (vertically opposite angles) and OQ = OS = 3 cm. ...

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Byju's Answer

Standard VII

Mathematics

SAS Criteria for Congruency

Which angle o...

Question

Which angle of $△$ POQ corresponds to $∠$ OSR of $△$ ROS ?

∠

OQP

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∠

QPO

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∠

POQ

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None of the above

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Solution

The correct option is A $∠$ OQP
Consider triangles, $△$ POQ and $△$ ROS, wherein
PO = RO = 4 cm,
$∠$ POQ = $∠$ ROS (vertically opposite angles) and
OQ = OS = 3 cm.

$∴$ By SAS criteria for congrunecy of triangles, $△$ POQ $≅ △$ ROS.

So, $∠$ OSR of $△$ ROS corresponds to $∠$ OQP of $△$ POQ.

Suggest Corrections

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