Mathematics

Mathematics

Problem

Quadrilateral

PQRS

has diagonals

PR

and

QS

intersecting at point

T

. It is known that

PT = TR

and that

\triangle PTQ \cong \triangle RTS

. a. (i) Prove that

T

is the midpoint of

QS

. b. (ii) Hence, prove that quadrilateral

PQRS

is a parallelogram.

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