Question

7.
In the adjoining figure, a rectangle PQRS is
inscribed in a circle with centre T. Prove that,
arc SPQ = arc PQR
​

Answer 1

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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Answer 2

Answer:

Given: a rectangle PQRS is inscribed in a circle with centre T

To Find : Prove that, arc SPQ = arc PQR

Solution:

72)

A rectangle has all 4 angles = 90°

=> MPQ = 90°

mz PQR = 90°

=> m_SPQ = m. PQR

ZSPQ = Z PQR

m arc SPQ = m arc PQR

=> arc SPQ = arc PQR

QED

Hence Proved