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 are equal.
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 are equal.

Interactive graph : 1

Interactive Graph : 2

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.

Circle Properties Practice Worksheet 1 or 3
[pdf-embedder url=”http://www.mathelaureate.com/wp-content/uploads/2017/08/Circle-Theorem-worksheet-1-of-4.pdf” title=”Circle Theorem worksheet 1 of 4″]
Circle Properties Practice Worksheet 2 or 4
[pdf-embedder url=”http://www.mathelaureate.com/wp-content/uploads/2017/08/Circle-Theorem-worksheet-2-of-4.pdf” title=”Circle Theorem worksheet 2 of 4″]
 Circle Properties Practice Worksheet 3 or 4
[pdf-embedder url=”http://www.mathelaureate.com/wp-content/uploads/2017/08/Circle-Theorem-worksheet-3-of-4.pdf” title=”Circle Theorem worksheet 3 of 4″]
 Circle Properties Practice Worksheet 4 or 4
[pdf-embedder url=”http://www.mathelaureate.com/wp-content/uploads/2017/08/circle-theorems-Revision.pdf” title=”circle theorems – Revision”]