Math, asked by kumarmanjup45c9z, 1 year ago

prove that cyclic parallelogram is a rectangle.

Answers

Answered by khushi671
1
a cyclic parallelogram is rectangle because opposite angles of cyclic quadrilateral are supplementary and rectangle also having opposite angles supplementary so it's proved.

kumarmanjup45c9z: ty
Dasham10: Thats not the right proof though
Dasham10: A square also has opposite angles supplementary
Dasham10: A rhombus can also have opposite angles supplementary
khushi671: but they are asking about rectangle and square is also a cyclic quadrilateral but rhombus is not a cyclic quadrilateral
Dasham10: it can be
Dasham10: maybe
Dasham10: never tried making a cyclic rhombus
Answered by Dasham10
7
Let the opposite angles of a cyclic parallelogram as named by me be A and B.

As the opposite of a cyclic quadrilateral are supplementary

Therefore, A+B=180

Also opposite angles of a parallelogram are equal.

Therefore,

A+A=180
2A=180
A=90


There the quadrilateral is a rectangle as a parallelogram with one angle of 90 is a rectangle.




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