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In quadrilateral PQRS, diagonal PR divides it into triangles PQR and PRS.
Given PQ = SR, QR = PS and PR is common. Which rule proves triangle PQR congruent to triangle RSP?

Class 9SSS and RHS CongruenceGeometry — Triangles
  • ASSS
  • BRHS
  • CAAA
  • DSSA

Step-by-Step Solution

PQ = RS, QR = SP, and PR = RP (common). Three pairs of sides equal gives SSS, so triangle PQR ≅ triangle RSP.
Answer: A) SSS

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