Question

Diagonal QS of a paralalleogram PQRS bisect angle Q, show that, 1.if bisect angle S 2.PQRS is rhombus​

Answer 1

Answer:

PQRS is a parallelogram where PR and QS are diagonals intersect at point O

In △POS and △ROQ

⇒ ∠SPO=∠QRO [ Alternate angles between parallel lines are equal ]

⇒ ∠PSO=∠RQO [ Alternate angles between parallel lines are equal ]

⇒ ∠POS=∠ROQ [ Vertically opposite angles ]

∴ △POS≅△ROQ [ By AAA congruence theorem ]

⇒ segPO≅segRO [ By CPCT ]

⇒ segSO≅segQO [ By CPCT ]

Step-by-step explanation:

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