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✰ Perfect & Complete Answer Required
✰ With proper reference
✰ No plagiarized work
║WRITTEN WORK REQUIRED ║
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
❌ SPAM WILL BE REPORTED ❌
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Step-by-step explanation:
(i) In ∆ABM and ∆PQN
AB = PQ (given)
AM = PN ( given)
BC = QR
AM and PN are medians
So, 1/2 BC = 1/2 QR
Therefore, BM = QN
Hence, ∆ABM is congruent to ∆ PQN ( by SSS )
(ii) In ∆ABC and ∆PQR
AB = PQ (given)
So, angle B = angle Q (isosceles property)
BC = QR (given)
Therefore, ∆ABC is congruent to ∆PQR ( by SAS )
I don't have the written answer, just ignore if you don't like the answer, anyway this is the correct answer.
Answer:
△ABC and△PQR in which AB=PQ,BC=QR and AM=PN.
Since AM and PN are median of triangles ABC and PQR respectively.
Now, BC=QR ∣ Given
⇒ 1/2 BC = 1/2QR
Median divides opposite sides in two equal parts
BM=QN. (1)
Now, in △ABM and△PQN we have
AB=PQ ∣ Given
BM=QN ∣ From (i)
and AM=PN ∣ Given
∴ By SSS criterion of congruence, we have
△ABM≅△PQN, which proves (i)
∠B=∠Q (2) ∣ Since, corresponding parts of the congruent triangle are equal
Now, in △ABC and△PQR we have
AB=PQ ∣ Given
∠B=∠Q ∣ From (2)
BC=QR ∣ Given
∴ by SAS criterion of congruence, we have
△ABC≅△PQR, which proves (ii)