Question 2
(a) In the figure A and B are the mid- points of two equal chords PQ and RS
respectively of a circle with center O. Prove that A0AQ = AOBS.
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Step-by-step explanation:
In given figure,
PQ=RS
A and B are mid-points of PQ and RS.
OA=OB
Because when two chords are equal then their distance from center are equal.
In triangle OAQ and OBS
OA=OB
PQ=RS
(PA=AQ,RB=BS)
(Radius of circle are equal)
OAQOBS
Reason: SSS postulate
Hence, proved.
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