DSE數學--定理(theorem)列表 Circle
DSE數學--定理(theorem)列表 Circle
Angle
Angle
- ∠ at center twice ∠ at circumference
- ∠s in the same segment
- ∠ in semi-circle
- Converse of ∠ in semi-circle
- arc proportional to ∠ at center
- arc proportional to ∠ at circumference
- equal (angle/chord/arc), equal(angle/chord/arc)
- ∠s in alt segment
Chord
- perpendicular from center to chord bisect chord
- line joining center to mid-pt of chord ⊥ chord
- ⊥ bisector of chord bisect chord
- equal chords, equidistant from center
- chords equidistant from center are equal
Cyclic quadrilateral
- opp ∠s, cyclic quad
- ext ∠s, cyclic quad
- opp ∠s supp.
- ext ∠ = int. opp. ∠
- converse of ∠s in the same segment
Tangent
- tangent ⊥ radius
- tangent properties
- ∠s in alt segment
- converse of tangent ⊥ radius
- converse of
- ∠s in alt segment
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