Circle Theorems Flashcards
1
Q
Alternate segment theorem
A
The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment
2
Q
Angles at the centre theorem
A
The angle at the centre is twice the angle at the circumference
3
Q
Angles in the same segment theorem
A
Angles in the same segment are equal
4
Q
Angles in a semicircle
A
The angle in a semicircle is 90 degrees
5
Q
Chord of a circle theorem
A
The perpendicular from the centre of a circle to a chord bisects a chord into 2 equal parts
6
Q
Cyclic quadrilateral theorem
A
The opposite angles in a cyclic quadrilateral total 180 degrees
7
Q
Tangent of a circle theorem 1
A
The angle between a tangent and the radius is 90 degrees
8
Q
Tangent of a circle theorem 2
A
Tangents which meet at the same point are equal in length
