A School Geometry

AB² ABCD altitudes AÔB assumed Assumption base bisects called centre chord circle circle ABC circles cut common congruent const Construction corresponding cut the circle cut the line cyclic diagonals diameter distance divides draw draw a circle drawn equal equivalent EXAMPLE EXERCISE externally figure Find fixed four Geometry given given circle given point goes height Hence inscribed inside interval isosceles triangle Join length locus means Measure mid-point moves Note opposite sides parallel parallelogram perpendicular plane polygon produced Proof Prove quadrilateral radii radius rectangle regular resp right angles right bisector segment side BC similar Similarly square Suppose Take tangent THEOREM triangle ABC vertices