Circle Theorems (Leaving Cert Mathematics): Flashcards
📚Flashcards
Practise the cards
12 cards from this deck
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Practise the cards
12 cards from this deck
Angle in a semicircle
Angle in a semicircle
(always a right angle)
Tangent to a circle
Tangent to a circle
Line that meets circle at exactly one point
Chord of a circle
Chord of a circle
Line segment connecting two points on circumference
Perpendicular from centre to chord does what?
Perpendicular from centre to chord does what?
Bisects the chord (cuts it exactly in half)
Angle between tangent and radius at contact point
Angle between tangent and radius at contact point
(perpendicular)
Point of contact
Point of contact
Where tangent touches the circle
Line ⊥ to radius at circle point is?
Line ⊥ to radius at circle point is?
A tangent to the circle
Triangle formed by two radii and a chord
Triangle formed by two radii and a chord
Isosceles triangle
Two circles touch at one point: centres & contact are?
Two circles touch at one point: centres & contact are?
Collinear (on same straight line)
What do circle theorems describe?
What do circle theorems describe?
Relationships between angles, lines, and points in circles
Corollary
Corollary
Statement that follows directly from a proven theorem