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20 Cards in this Set
- Front
- Back
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Equal angles subtended at the centre of the circle cut off equal chords.
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Equal arcs subtend equal angles at the centre of the circle.
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The angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
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Angles in the same segment of a circle are equal.
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The angle in a semicircle is a right angle.
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A perpendicular line from the centre of a circle to a chord bisects the chord.
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A line from the centre of a circle that bisects a chord is perpendicular to the chord.
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Equal chords are equidistant from the centre of the circle.
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Chords that are equidistant from the centre are equal.
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The products of intercepts of intersecting chords are equal.
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Concyclic points are points that lie on the circumference of a circle.
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Any 3 non-collinear points are concyclic .
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A cyclic quadrilateral is a figure whose 4 vertices are concyclic points .
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The opposite angles in a cyclic quadrilateral are supplementary.
If the opposite angles of a quadrilateral are supplementary, then the quadrilateral is cyclic. |
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The exterior angle at a vertex of a cyclic quadrilateral is equal to the interior opposite angle.
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The tangent to a circle is perpendicular to the radius drawn from the point of contact.
The line perpendicular to the radius at the point where it meets the circle is a tangent to the circle at that point. |
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Tangents to a circle from an exterior point are equal.
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When two circles touch, the line through their centres
passes through their point of contact. |
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The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
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