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CirclesFormulas
| Question | Answer |
|---|---|
| central angle theorem | central angle=arc measure |
| inscribed angle theorem | inscribed angle=half of arc measure |
| angles of inscribed quadrilateral theorem | opposite sides are supplementary |
| inscribed angle of a semicircle theorem | inscribed angle=90 degrees |
| diameter drawn to tangent at a point of tangency theorem | the angle made between the point of tangency and the diameter is 90 degrees |
| length of segments of intersecting chords theorem | products of the lengths of the chord segments are equal |
| diameter/radius perpendicular to a chord theorem | it bisects the arc and the chord |
| congruent chords and intercepted arcs theorem | arcs are equal if chords are equal |
| length of tangent segments theorem | segments coming from the same tangent are equal |
| angle formed by secant/chord drawn to tangent at point of tangency | angle= half of arc |
| angle formed by intersecting chords (inside circle) | average of two arcs=measure of angle |
| angle formed by two secants (outside circle) | half(bigarc-littlearc)= measure of angle |
| angle formed by two tangents (outside circle) | measure of angle+minor arc=180 |
| angle formed by secant and tangent (outside circle) | measure of angle=half(bigarc-angle's arc) |
| length of segments of intersecting secant and secant | external secant segment 1*whole secant 1=external secant segment 2*whole secant 2 |
| length of segments of intersecting tangent and secant | external secant segment*whole secant=tangent^2 |
Created by:
I'mtheAlpha