State whether the following statement is true or false:

MNQR is a parallelogram and S is midpoint of LM. Then $ar(quad . MNQR) = ar (Δ LMS)$ .

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given, a parallelogram MNQR where S is midpoint of LM.
Question Image

SN is a median and we know that median divides the triangle into two equal parts.

∴ a r (Δ M S N) = 12 a r (Δ L M N)

Triangles with same base and between same parallels.

a r (Δ M S N) = 12 a r (M N Q R)

Therefore,

a r Δ L M S = a r M N Q R

.
Hence, the given statement is true.
Hence, the correct option is 1.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test