Circle Theorems Flashcards
1
Q
Alternate Segment Theorem
A
The angle between a tangent and a chord is equal to the angle in the alternate segment
2
Q
Angles at the centre and circumference
A
The angle subtended by an arc at the centre is twice the angle subtended at the circumference
3
Q
Angles in the same segment
A
The angles at the circumference subtended by the same arc are equal
4
Q
Cyclic quadrilaterals
A
The opposite angles in a cyclic quadrilateral add up to 180°
5
Q
Angles in a semicircle
A
The angle at the circumference in a semicircle is a right angle.
6
Q
Tangents
2 points
A
1) The angle between a tangent and a radius is 90°
2) Tangents which meet at the same point are equal in length
7
Q
Chord of a circle
A
perpendicular from the centre of a circle to a chord bisects the chord
