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Intermediate

The hidden circle

Two intersecting circles, two line segments and five points, two of which are centres. Prove that the red points are concyclic.

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Solution

Solution by Jaihind Singh.

Poem

The hidden circle
Serves as a good shelter
For unknown secrets
Each of us hides some
We also play a role
To protect ourselves
And try how to live together
In a hidden circle
Are our real treasures
That we cherish
Or sometimes hate
The hidden circle is not a fake

Bella

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One reply on “The hidden circle”

Make a irregular 5 sided polygon connecting the 5 dots (externally)
Find the 5 madiatrixes of the five sides of the polygon
All 5 mediatrixes will connect in the center of the circle that unites the points

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