Karteikarten
Circle Geo

Karten in diesem Stapel (22)
- 1—Angle at the centre is twice the angle at the circumference standing on the same arc

- 2—Equal arcs (Chords) subtend equal angles at the centre of the circle

- 3—Equal angles at the centre of a circle stand on equal chords (arcs) of that circle

- 4—Equal Chords cut off equal arcs

- 5—Angles at the circumference in the same segment standing on the same arc are equal

- 6—Angle in a semi-circle is a right-angle

- 7—A perpendicular line from the centre of the circle to a chord bisects the chord

- 8—A line from the centre of a circle that bisects a chord is perpendicular to the chord

- 9—Equal Chords are equidistant from the centre of a circle
(Given AB=CD)
- 10—Chords that are equidistant from the centre are equal

- 11—The products of intercepts of intersecting chords are equal
AX . XB = CX . XD
- 12—The products of intercepts of intersecting chords are equal
OM . MN = MQ . MP
- 13—The opposite angles in a cyclic Quadrilateral are supplementary

- 14—If the opposite angles of a quadrilateral are supplementary, then the quadrilateral is cyclic.

- 15—Exterior angle of a cyclic quadrilateral is equal to the interior opposite angle

- 16—The tangent to a circle is perpendicular to the radius drawn from the point of contact

- 17—The line is drawn through the point on a circle, perpendicular to the radius at that point is a tangent to the circle

- 18—Tangents to a circle from an exterior point are equal.

- 19—When two circles touch, the line through their centres passes through their point of contact

- 20—When two circles touch, the line through their centres passes through their point of contact

- 21—The angle between a tangent and a chord (through the point of contact) is equal to the angle in the alternate segment.

- 22—The square of the length of the tangent from an external point is equal to the product of the intercepts of the secant passing through this point.

Informationen
- Beschreibung
- Year 11 Maths Ex1 Karteikarten am Circle Geo , erstellt von Katherine Tu am 18/04/2018.
- Erstellt von
- Katherine Tu
- Aufrufe
- 4
- Bewertung