Question

in the given figure pqrs is a parallelogram B and d are the midpoints of the sides QR and PS respectively show that ABCD is a parallelogram​

Answer 1

Answer:

PS = QR

THEN, PS/2 = QR/2

DS= QB EQ.1

PS || QR

THEREFORE,DS || QB EQ.2

BY EQ.1&2,

DSBQ IS A PARALLELOGRAM EQ.3

SIMILARLY,PDRB IS ALSO A PARALLELOGRAM EQ.4

FROM EQ.3 , DQ || SB

THEREFORE, AD|| BC EQ.5

FROM EQ.4 ,PB || DR

THEREFORE, AB || DC EQ.6

NOW,

FROM EQ.5&6

WE CAN CONCLUDE THAT ABCD IS A PARALLELOGRAM