nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp-Which angle of POQ corresponds to -OSR of ROS -OQP-QPONone of the above-POQ

The correct option is A ∠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 Congruence Criterion

nbsp; nbsp...

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.

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Similar questions

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Q. In fig

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Prove that:

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

The correct option is A ∠OQPConsider 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.

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