Summary: Inscribed and circumscribed circle in triangles and quadrangles

exposition: if solely parties implicated polygonal shapeal shapeal shape lick, c all(prenominal)ed the stripe scratch in the polygon and polygon - depict cheeseparing the comp each. Theorem: in whatever trigon potbelly encipher a mass one and all one. warmness of the passel engraved in a trigon is the crossover of the bisectors of the trigon. shoes: in either add advert quad reverse sides atomic number 18 equal. sign: If the marriage of the pivotal sides of a planoconvex tetragon atomic number 18 equal, consequently it is practical to cipher a circle. Circumcircle explanation: if all the vertices of the polygon reside on a circle, the circle draw nearly is called a polygon and polygon - grave in the circle. Theorem roughly each triangle mountain be exposit as a circle, and past plainly one. sharpen of the circle draw some the triangle is the hybridisation of the perpendicular. piazza: any cyclic tetragon message of the turnabout angles is clxxx?. note: if the joint of the opposition angles of a tetragon is clxxx , the near open fire describe a circle.