Quadrilateral has diagonals and intersecting at point

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Quadrilateral PQRSPQRS has diagonals PRPR and QSQS intersecting at point TT. It is known that PT=TRPT = TR and that △PTQ≅△RTS\triangle PTQ \cong \triangle RTS. (i) Prove that TT is the midpoint of QSQS. (ii) Hence, prove that quadrilateral PQRSPQRS is a parallelogram.

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