## Riders in Geometry |

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very interesting

### Contents

Introduction | 2 |

The Midpoint and the Intercept Propositions | 28 |

The Anglesum Theorem Right Angles | 35 |

Inequalities in a Triangle | 44 |

70 | 98 |

Properties of Chords of a Circle | 83 |

Arcs Angles and Chords | 91 |

Loci | 120 |

Symmetry | 139 |

### Common terms and phrases

ABCD alternate altitudes angle-sum base bisector bisects Calculate centre CHAPTER chord circles intersect circumference common chord congruent connection constant conversely corresponding cyclic quadrilateral dealing diagonals diameter direct distance divide double Draw drawn equal equilateral triangle Exercise express exterior angle external facts figure fixed points follows give given half Hence Ideas important inscribed interior internal isosceles triangle joining length means median meet meet the circumference mentioned mid-point Note once opposite angles opposite sides pair parallel parallel straight lines parallelogram passes perpendicular point of intersection possible produced properties Prove Pythagoras question radius rectangle regular respectively rider right angles segment Show Similarly square straight line straight line joining subtends suggests supplementary symmetry tangent terminated theorem third touches triangle ABC vertices