Circle theorems (OCR GCSE Maths): Flashcards
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15 cards from this deck
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Practise the cards
15 cards from this deck
Relationship between diameter and radius
Relationship between diameter and radius
Diameter is twice the radius ()
How many points does a tangent touch on a circle?
How many points does a tangent touch on a circle?
Exactly one point
Angle at centre vs angle at circumference (same arc)
Angle at centre vs angle at circumference (same arc)
Centre angle = circumference angle
Angle in a semi-circle
Angle in a semi-circle
(right angle)
Angles in same segment of circle
Angles in same segment of circle
Equal to each other
Sum of opposite angles in cyclic quadrilateral
Sum of opposite angles in cyclic quadrilateral
Angle between tangent and radius at point of contact
Angle between tangent and radius at point of contact
(right angle)
Alternate segment theorem: angle between tangent and chord
Alternate segment theorem: angle between tangent and chord
Equal to angle in alternate segment
Length of two tangents from external point
Length of two tangents from external point
Equal in length
Definition of chord
Definition of chord
Line segment connecting two points on circumference
Definition of arc
Definition of arc
Part of the circumference of the circle
Cyclic quadrilateral definition
Cyclic quadrilateral definition
Quadrilateral with all vertices on circle's circumference
When centre angle is in Theorem 1
When centre angle is in Theorem 1
Circumference angle is (semi-circle)
Definition of segment in circle
Definition of segment in circle
Area between a chord and the circumference
Triangle formed by two tangents from external point
Triangle formed by two tangents from external point
Isosceles triangle
