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# Ch.6 Conjectures

Conjecture Name | What it states |
---|---|

Intersecing Secants Conjecture | angle formed by secants that intersect out of circle= 1/2difference of arcs |

Intersecting Chords Conjecture | angle formed by 2 intersecting chords is 1/2sum |

Tangent-Secant Conjecture | angle formed by intersecting tangent and secant is 1/2difference |

Intersecting Tangents Conjecture | angle formed by 2 intersecting tangents to a circle=1/2difference |

Tangent Chord Conjecture | angle formed by intersecting tangent and chord at pt. of tangency=1/2arc |

Circumference Conjecture | C=d*pie |

Arc Length Conjecture | arc length=arc measure/360 * circumference |

Inscribed Angle Conjecture | msr of inscribed angle is 1/2 arc |

Inscribed Angle Intercepting Arcs Conjecture | inscribed angles that intercept the same arc/or congruent arcs, are congruent |

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

Cyclic Quadrilateral Conjecture | opp. angles of a cyclic quad. are supplementary |

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

Chord Central Angles Conjecture | congruent chords->congruent angles |

Chord Arcs Conjecture | congruent chords->congruent arcs |

Perpendicular to a Chord Conjecture | perpendicular from center of circle to a chord is its bisector |

Chord Distance to Center Conjecture | 2 congruent chords in a circle are equidistant from center of circle |

Perpendicular Bisector of a Chord Conjecture | perpendicular bisector of a chord passes thru the center |

Tangent Conjecture | a tangent to a circle is perpendicular to the radius at pt of tangency |

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

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