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just wondering (2 Viewers)

maths lover

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today in my extension test we had a circle geometry, quite a tough one which involved proving a quadilateral to be cyclic. well i didnt know how to do, so i decided to take a risk. and said if it was a cyclic quad then opps angles where supp and it worked then i said therfore it is cyclic, just wanted to know if you can do this to assume then prove.
 

thoth1

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today in my extension test we had a circle geometry, quite a tough one which involved proving a quadilateral to be cyclic. well i didnt know how to do, so i decided to take a risk. and said if it was a cyclic quad then opps angles where supp and it worked then i said therfore it is cyclic, just wanted to know if you can do this to assume then prove.
that shuld be alrite.
 

tambam

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im praying so, it was a three marker so if i get it i will be a very happy man.
Yes, if opposite angles of a quadrilateral are supplementary, then you can assume it is a cyclic quad.
 

maths lover

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Yes, if opposite angles of a quadrilateral are supplementary, then you can assume it is a cyclic quad.
,
no but mine was kinda like a proof by an assumption, i firstly assumed that it was a cycli quad and then found that they were supplementary concluded that it must be cyclic.
 

Drongoski

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Post the question. Did you show opp angles of the quadrilateral supplementary?
 
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maths lover

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idk the question since it was in my test. but in short terms as i just showed that one of the exterior angles of the quad was x. i then showed that the interior angle one right next to it 180-x since they are supp. then i said if it was a cyclic quad then the opp interior angle will be equal to x. but the opposite interior angles are supp and therfore it must be a cyclic quad do you understand?.
 

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