PQRS is an isosceles trapezium [Fig. Q(13)]
where PQ II SR and PS = QR. PS and QR are
extended to meet at O. Prove that SO = RO.
1
io
Fig. Q(13)
Р
Q
S
R
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Answer:
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Step-by-step explanation:
Since PQ||SR
PS/OP=QR/OQ
OP/OQ=PS/QR=1(GIVEN PS=QR)
PS=QR...... (1)
So, OP=OQ.......(2)
Then,
ADDING (1),(2)
PS+OP=QR+OQ
OS=OR
Hence proves
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