a rectangle pqrs is inscribed in a circle with centre T
Prove that (i) arc SPQ is congruent to arc PQR
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tanuj670:
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Given : a rectangle PQRS is inscribed in a circle with centre T
To Find : Prove that, arc SPQ ≅ arc PQR
Solution:
A rectangle has all 4 angles = 90°
=> m∠SPQ = 90°
m∠ PQR = 90°
=> m∠SPQ = m∠ PQR
∠SPQ ≅ ∠ PQR
m arc SPQ = m arc PQR
=> arc SPQ ≅ arc PQR
QED
Hence Proved
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