Question

In a square pqrs, diagnols bisect each other at o. prove the triangle poq congruent to triangle qop congruent to triangle Ros congruent to triangle sop

Answer 1

in square diagonal bisect each other so in triangle POQ and triangle ROS
PO=RO (given)
QO=SO.(given)
angle POQ=angle ROS (vertically opposite angle)

by SAS.,triangle POQ is congruent to triangle ROS.

In triangle ROS and triangle POS
SO=SO (common)
PO=RO (given).
SP=SR (sides of square are equal)
therefore by SSS.
triangle ROS is congruent to triangle SOP.

hence proved.

hope you will understand easily...