Circle Theorems Flashcards
0
Q
Arrowhead
A
The angle subtended at the centre of the circle is double the size of the angle at the circumference from the same points.
1
Q
Butterfly
A
Angles in the same segment of a circle are equal
2
Q
Wheel on a flat surface
A
The angle between the tangent and radius is 90 degrees
3
Q
Diameter triangle
A
The inscribed angle in a semicircle is 90 degrees
4
Q
Rectangle
A
Opposite angles in a cyclic quadrilateral add up to 180 degrees
5
Q
Triangle in circle on flat surface
A
Alternate segment theorem
6
Q
Arrow from circumference of circle
A
Tangents from a point outside the circle are equal in length
7
Q
From centre triangle
A
The perpendicular from the centre to the chord bisects the chord