Question

in the given figure pr and qs are two diameters PS=RS? give reason​

Answer 1

Answer:

Yes , PQ is equal to  RS

 Considering a circle, where PR and QS being a diameter.

 Let centre of circle be O

 Two triangles are formed:  POQ and SOR

  In triangles POQ and SOR

  PO = OR (Radius of circle)

  OS = OQ (Radius of circle)

  Angle POQ = Angle SOR (Vertically opposite angles are always equal)

Hence triangle POQ is congruent to triangle SOR (By Side Angle Side Axiom)

PQ = RS (By C.P.C.T.C) (Proved)

Answer 2

Answer

In triangle POQ and SOR, we have

OP=OS ...(radii)

OQ=OR ....(radii)

∠POQ=∠SOR

By SAS ie side angle side two triangles are congruent.

Therefore, PQ=SR ...(C.P.C.T)