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# 1-6 Conjectures

### all the conjectures for the fall final

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

Intersecting Secants Conjecture | The angle formed by 2 intersecting secants is 1/2difference of arcs |

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

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

Intersecting Tangents Conjecture | angle formed by intersecting tangents measures 1/2 difference |

Tangent Chord Conjecture | angle formed by intersecting tangent and chord measure 1/2 arc |

Circumference Conjecture | C=d*pie |

Arc Length Conjecture | arc measure/360 * C |

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

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 quad. are supplementary |

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

Perpendicular to a Chord Conjecture | A perpendicular from the center to the chord is its bisector |

Chord Distance to Center Conjecture | congruent chords are equidistant from the center |

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

Chord Central Angles Conjecture | if two chords are congruent then central angles are congruent |

Chord Arcs Conjecture | if two chords congruent, then the intercepted angles are congruent |

Tangent Conjecture | Tangent to radius is perpendicular |

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

Converse Pgram Opp. Side Conjecture | if both pairs of opp sides are congruent than its a parallelogram |

Converse Pgram Opposite Angle Conjecture | if both pairs of opp. angles are congruent, then its a pgram |

Converse One Pair Pgram Conjecture | if 1 pair of sides in a quad are congruent and parallel then its a pgram |

Pgram Opp Angle Conjecture | opp. angles are congruent |

Pgram Opp Sides Conjecture | opp. sides are congruent |

Pgram Diag. Conjecture | diags bisect eachother |

Pgram Consec Angle Conjecture | consecutive angles are supplementary |

Rectangle Diag. Conjecture | diagonals are congruent |

Rhombus Diagonal Conjecture | diagonals are perpendicular |

Rhombus Angles Conjecture | diagonals bisect angles |

Square Diag. Conjecture | diagonals bisect eachother, congruent, bisect opp.angles |

Kite Angle Conjecture | non-vertex angles are congruent |

Kite Diag. Conjecture | diags are perpendicular |

Kite Diag Bisect Conjecture | the diags that connect the vertex angles, bisects those angles |

Isc. Trapezoid Conjecture | base angles are congruent |

Isc. Trapezoid Diag. Conjecture | diags are congruent |

Three Midsegment Conjecture | the 3 midsegments of a triangle divide it into four congruent triangles |

Triangle Midsegment Conjecture | midsegment is parallel to the base, 2(midsegment)= base side |

Trapezoid Midsegment Conjecture | midsegment parallel to base and top side,1/2( top side+base side)=midsegment |

Base Angles in Isc. Triangle Conjecture | legs congruent->base angles congruent |

Converse of Isc. Triangle Conjecture | base angles congruent->legs congruent |

Triangle Inequality Conjecture | sum of the 2 smaller sides must be greater than the 3rd |

Side-Angle Inequality Conjecture | largest side is across from largest angle |

Triangle Exterior Angle Conjecture | exterior angle= sum of 2 remote interior angles |

Converse Parallel Lines Conjecture | if the CA,AIA,AEA are congruent then the lines are parallel |

Perpendicular Bisector Conjecture | if pt. is on perpendicular bisector, then its equidistant from endpoints |

Converse Perpendicular Bisector Conjecture | pt. equidistant from the endpts is on the perpendicular bisector |

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