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Home / Doubts and Solutions/JUNIOR/Class 9/Mathematics

In circle parallalogram is rectangle or not?

Asked by palvinder 21st February 2017, 6:31 PM
Answered by Expert
Answer:

In a circle, a parallelogram is a rectangle.

begin mathsize 16px style PQRS thin space is space straight a space parallelogram To space prove colon thin space PQRS thin space is space straight a space rectangle In space parallelogram space PQRS comma space opposite space angles space are space equal So comma space angle straight P equals angle straight R Since space PQRS space is space straight a space cyclic space qudarilateral comma space it space means space opposite space angles space sum space upto space 180 degree. rightwards double arrow angle straight P plus angle straight R equals 180 degree rightwards double arrow angle straight P equals angle straight R equals 90 degree Similarly comma space we space can space prove space that space angle straight Q equals angle straight S equals 90 degree Since space all space the space angles space of space the space parallelogram space are space 90 degree comma space PQRS space is space straight a space rectangle. end style

Answered by Expert 21st February 2017, 6:43 PM
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