Fichas
Circle Geo
Fichas del conjunto (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.
Información
- Descripción
- Year 11 Maths Ex1 Fichas sobre Circle Geo , creado por Katherine Tu el 18/04/2018.
- Creado por
- Katherine Tu
- Visitas
- 4
- Valoración