Question

plz solve THIS oues fast plzzzz​

Answer 1

Step-by-step explanation:

Given:

AB = PQ.......(1)

BC = QR.......(2)

& AM = PN.......(3)

Also, AM is the median of A ABC

So, BM = CM = 1/2 BC

Also, PN is the median of A PQR

So, QN = RN = 1/2 QR

To prove: Triangle ABM is Congruent Triangle PQN

Proof:

Since

BC = QR

1/2 BC = 1/2 QR

BM = QN........(4)

In A ABM & A PAN

AM = PN (from 3)

BM = QN (from 6)

So

So Triangle ABM is Congruent To Triangle PQN (SSS CONGRUENCY RULE)

(ii) Triangle ABC Is congruent To Triangle PQR

From part (i),Triangle ABM Congruent Triangle PQN

Angle B= Angle Q (CPCT)

In A ABC & A PQR

AB = PQ

Angle B= Angle Q

BC = QR

So By SAS CONGRUENCY RULE,

Triangle Abc is Congruent to Triangle PQR