**Property 1 :** Angle subtended at the Centre of a circle is twice the angle subtended at the circumference.

** Property2 :** Angles subtended by an arc in the same segment of a circle

** Property 3 :** The opposite angles in a cyclic quadrilateral add up to 180 degrees- the angles are supplementary.

** Property4 :** The angle in a semi-circle is a right angle.

** Property 5:** The angle between a tangent and the radius drawn to the point of contact is 90 degrees.

** Property6 :** From any point outside a circle just two tangents to the circle may be drawn and they are of equal length.

**Property 1 :**

Angle subtended at the Centre of a circle is twice the angle subtended at the circumference.

**Property2 :**

Angles subtended by an arc in the same segment of a circle

**Property 3 :**

The opposite angles in a cyclic quadrilateral add up to 180 degrees- the angles are supplementary.

**Property 4 :**

The angle in a semi-circle is a right angle.

**Property 5:**

The angle between a tangent and the radius drawn to the point of contact is 90 degrees.

**Property 6 :**

From any point outside a circle just two tangents to the circle may be drawn and they are of equal length.

** Skill builder questions**

Practice Worksheet – 1 |
Circle theorem ws – 1 | Answers |

Practice Worksheet – 2 | Circle theorem ws – 2 |
Answers |