Question

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

• A. $\angle$OQP
• B. $\angle$QPO
• C. $\angle$POQ
• D. None of the above

Answer 1

The correct option is A $\angle$OQP

Consider triangles, $△$POQ and $△$ROS, wherein
PO = RO = 4 cm,
$\angle$POQ = $\angle$ROS (vertically opposite angles) and
OQ = OS = 3 cm.

$\therefore$ By SAS criteria for congrunecy of triangles, $△$POQ $\cong △$ROS.

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