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140625
Circle Geometry
Descripción
Higher School Certificate(HSC ) MATHEMATICS Mapa Mental sobre Circle Geometry, creado por studycat el 28/06/2013.
Sin etiquetas
mathematics
mathematics
higher school certificate(hsc )
Mapa Mental por
studycat
, actualizado hace más de 1 año
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Creado por
studycat
hace más de 11 años
1449
6
0
Resumen del Recurso
Circle Geometry
OTHER
When two circles touch, their centres and the point of contact are collinear
The products of the intercepts of two intersecting chords are equal
CHORDS
Chords of equal length subtend equal angles at the centre of the circle
Equal chords are equidistant from the centre of the circle
The perpendicular from the centre of a circle to a chord bisects the chord
The perpendicular bisector of a chord passes through the centre of the circle
ANGLES
Angles in the same segment are equal
The angle at the centre is twice the angle at the circumference subtended by the same arc
The angle in a semi-circle is a right angle
Opposite angles of a cyclic quadrilateral are supplementary
SECANTS & TANGENTS
The angle between a tangent and radius at the point of contact is 90 degrees
The tangents to a circle from an external point are equal in length
The angle between a tangent and a chord at the point of contact is equal to the angle in the alternate segment
The angle between the tangent and radius at the point of contact is a right angle
The product of the intercept of two intersecting secants to a circle from an external point are equal
The square of the tangent to a circle from an external point equals the product of the intercepts of any secant from the point
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