The bisectors of two angles are perpendicular, and their sides intersect at four different points.
| May 7, 2021 | education
The bisectors of two angles are perpendicular, and their sides intersect at four different points. Prove that these points lie on the same circle.
Draw two perpendicular bisectors a, b.
Construct any two corners with sides m, k and t, n intersecting at points A, B, C, D.
To find the center of the circle, you need to find the intersection of two perpendiculars l and p from the middle of any two chords.
The chords are AB, BC, CD, DA.
We build a circle with the center O.
It is proved that points A, B, C, D lie on the same circle.
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