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Question


Line a is parallel to line b and line c is parallel to line d. Then, 
  1. QR = SP
  2. PQ = RS
  3. QR = PR
  4. SP = RP


Solution

The correct options are
A QR = SP
B PQ = RS
Consider  PQR and RSP
QRP = SPR (alternate angles)
RPQ = PRS (alternate angles)
side PR = side RP (common )

 PQR RSP by Hence, by ASA criterion for congruency of triangles.

Hence 
QR = SP (corresponding parts of congruent triangles)
PQ = RS (corresponding parts of congruent triangles)

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