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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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