Question

⭐✨ D and E are the mid points of the sides AB and AC of AABC 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 :✨⭐

​

Answer 1

Answer:

A Parallelogram

Step-by-step explanation:

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

Your 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:

Answer→

Correct answer is a parallelogram

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.

Hence, answer is parallelogram

Hope this was helpful for uh...

keep smiling ^-^

Thank uh...!!