In the figure $P R$ and $Q S$ are two diameters. Is $P Q = R S$ ?

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Solution

In triangle $P O Q$ and $S O R$ , we have
$O P = O S$ ...(radii)
$O Q = O R$ ....(radii)
$∠ P O Q = ∠ S O R$
By SAS ie side angle side two triangles are congruent.
Therefore, $P Q = S R$ .....(C.P.C.T)

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In the figure PR and QS are two diameters. Is PQ=RS?

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)

In the figure $P R$ and $Q S$ are two diameters. Is $P Q = R S$ ?

In triangle $P O Q$ and $S O R$ , we have
$O P = O S$ ...(radii)
$O Q = O R$ ....(radii)
$∠ P O Q = ∠ S O R$
By SAS ie side angle side two triangles are congruent.
Therefore, $P Q = S R$ .....(C.P.C.T)