Question

PQ and RS are two equal and parallel line segments. Any point M not lying on PQ or RS is
joined to Q and S and lines through P parallel to QM and through R parallel to SM meet at N
MN
find
MN÷PQ​

Answer 1

Answer:

∵PQ=RSandPN∥QM

⇒∠RPN=∠SQM⟶(1)

andPR=QS⟶(2)

also,RN∥SM

⇒∠PRN=∠QSM⟶(3)

Then,△PRN≅△QSM(byASA)

⇒PN=QMandRN=SM(CPCT)

since,PN∥QMandPN=QM

⇒PQMNisaparallelogram

similarly,RN∥SMandRN=SM

⇒RSMNisaparallelogram

Thus,PQ=MNandPQ∥MN

Step-by-step explanation:

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