Question

in a panalloIngram mocn, Eand F are the
bid point of Sides AB and ca respectively
face, figures show that line segment_176"
and to
trisect the diagonal BD.​

Answer 1

Step-by-step explanation:

Answer

Since diagonals of a parallelogram bisect each other. Therefore,

OA=OC and OB=OD.

Since P and Q are points of trisection of BD.

∴BP=PQ=QD.

Now, OB=OD and BP=QD

⇒OP−BP=OD−QD

⇒OP=OQ

Thus, in quadrilateral APCQ, we have

OA=OC and OP=OQ

⇒ Diagonals of quadrilateral APCQ bisect each other

⇒APCQ is a parallelogram.

Hence, AP∥CQ.