circle theorems

Question 1

what are the eight circle theorems?

Answer 1

1. angles in the same segment are equal.
2. the tangent to a circle is perpendicular to the radius.
3. the angle in a semi circle is a right-angle.
4. two tangents to a circle from a point are equal.
5. the angle at the centre is twice the angle at the circumference.
6. the angle between a tangent and a chord is equal to the angle in the alternate segment (alternate segment theorem).
7. the opposite angles of a cyclic quadrilateral add up to 180 degrees.
8. the perpendicular from the centre to a chord bisects the chord.