Question

1. If APQR = AMLN, then the length of side MN is equal to the length of the side
(A) PQ
(B) QR
(C) PR
(D)lm
​

Answer 1

PR

Hope it helps you:-)

plz make me feel better by marking me as BRAINLIST⭐

Answer 2

Using mid-point theorem,

we have

MN∥PQ and MN=

2

1

PQ⇒MN=PL

Similarly, we have

LM=PN

In triangles NML and LPN, we have

MN=PL

LM=PN

and, LN=NL

So, by SSS congruence criterion, we obtain

ΔNML≅ΔLPN

⇒∠MNL=∠PLN and ∠MLN=∠LNP

⇒∠MNL=∠LNP=∠PLM=∠MLN

⇒∠PNM=∠PLM

∴LN=MN