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In the adjoining figure PQRS is a rectangl. Identify the congruent triangle formed by the diagonals?
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In the adjoining figure PQRS is a rectangl. Identify the congruent tri...
In tri POQ and tri ROS ,
1) PO = RO    (one diagonal of a rectangle bisects the other)
2) QO = SO   (one diagonal of a rectangle bisects the other)
3) angle POQ = angle ROS      (vertically opposite angles)
:. tri POQ ≈ tri ROS    (by SAS axiom of congruency)

Similarly,  tri POS ≈ tri ROQ
1) PO = RO  ( one diagonal of a rectangle bisects the other)
 2) SO = QO (one diagonal of a rectangle bisects the other)
3) PS = QR   (opposite sides of a rectangle are equal)
 :. tri POS ≈ tri ROQ    (by SSS axiom of congruency)
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In the adjoining figure PQRS is a rectangl. Identify the congruent triangle formed by the diagonals?
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