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