## Circle Theorems - A Summary

| The angle subtended at the centre of the circle is twice the angle subtended at the edge. |

| The angle at the edge of a circle subtended by a diameter is a right angle. |

| Opposite angles in a cyclic quadrilateral - where all the vertices are an the edge of the circle - add up to 180 degrees. |

| An angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. |

| Angles in the same segment of a circle subtended from the same chord are equal. |

| Angles formed from two points on the circumference are equal to other angles, in the same arc, formed from those two points. |