Question

in figure if pr= PS, pt = pq ,angle pts=angle pqr =90 degree , prove that rq=st and rt=sq.

Answer 1

Answer:

Step-by-step explanation: In triangle RTS and RQS

angle RTS = angle RQS {linear pair}

RS=RS                              {common}

angle R = angle S           {PR=PS}

therefore, RTS ≅ RQS {ASA}

cpct- TS=RQ

In ΔTRO and ΔQSO

∠rto =∠sqo =90

rq =st  {proved}

∠rot = ∠sot  {VOA}

∴ΔTRO ≅ ΔQSO {ASA}

CPCT-   rt = qs

Answer 2

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