Question

D and E are the mid-points of the sides AB and AC of ABC and O is any
point on side BC.O is joined to A. If P and Q are the mid-points of OB and
OC respectively, then DEQP is: *
O Parallelogram
O
rhombus
O square​

Answer 1

Answer:

Given:

ABC is a triangle, D & E are the respective mid points of AB &AC.

O is any point on BC, P & Q are mid points of OB & OC respectively.

To find:

Type of quadrilateral of DEQP.

Solution:

In ΔABC,D&E are the respective mid points of AB & AC.

∴DE∥(BCorPQ) ....(1)

Again in ΔABO,P&D are the respective mid points of AB & BO

∴DP∥AO ... (2)

Similarly, in ΔACO,EQ∥AO ...(3)

∴ From (2) & (3), we get

DP∥EQ ... (4)

∴ From (1) & (4), we have

DE∥PQ and DP∥EQ

So, DEQP is parallelogram.

Answer 2

Answer:

DEQP is parallelogram.