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# chpt. 6 conjectures

### discovering geometry boning

Question | Answer |
---|---|

Chord Central Angles Conjecture | If two chords in a circle are congruent, then they determine two central angles that are congruent. |

Chord Arcs Conjecture | If two chords in a circle are congruent, then their intercepted arcs are congruent. |

Perpendicular to a Chord Conjecture | The perpendicular from the center of a circle to a chord is the bisector of the chord. |

Chord Distance to Center Conjecture | Two congruent chords in a circle are equidistant from the center of the circle. |

Perpendicular Bisector of a Chord Conjecture | The perpendicular bisector of a chord passes through the center of the circle. |

Tangent Conjecture | A tangent to a circle is perpendicular to the radius drawn to the point of tangency. |

Tangent Segments Conjecture | Tangent segments to a circle from a point outside the circle are congruent. |

Inscribed Angle Conjecture | The measure of an angle inscribed in a circle is one-half the measure of the central angle. |

Inscribed Angles Intercepting Arcs Conjecture | Inscribed angles that intercept the same arc are congruent. |

Angles Inscribed in a Semicircle Conjecture | Angles inscribed in a semicircle are right angles |

Cyclic Quadrilateral Conjecture | The opposite angles of a cyclic quadrilateral are supplementary. |

Parallel Lines Intercepted Arcs Conjecture | Parallel lines intercept congruent arcs on a circle. |

Circumference Conjecture | If C is the circumference and d is the diameter of a circle, then there is a number such that C=πd. If d=2r where r is the radius, then C=2πr. |

Arc Length Conjecture | The length of an arc equals the circumference times the measure of the central angle divided by 360°. |

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blulub