#steemitschool - Circle theorems

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Circle theorems are generally quite hard to master as they compose of 9 rules that you have to learn in order to answer the questions successfully.

Knowing the circle- the different parts you need to be familiar with.


(image credit: www.tes.com)


rule 1: The angle at the centre of the circle is twice as big as the angle at the circumference.


rule 2: The angle in a semi-circle is 90 degrees.



(image credit:www.mathematics-monster.com)

Rule 3: A tangent meets a radius at 90 degrees 

image credit:www.protopage.com

rule 4: Two radius meet at a chord to make an isosceles triangle.

(image credit:www.mathematics-monster.com)

rule 5: Angles in  the same segment are the same.

(image credit:www.protopage.com)

rule 6: Opposite angles in a cyclic quadrilateral add to 180 degrees.

(image credit:www.mathematics-monster.com)

rule 7: The perpendicular chord bisector is a diameter.

(image credit:jwilson.coe.uga.edu)

rule 8: Tangents that meet at the same point are equal. 

(image credit:www.mathematics-monster.com)

rule 9: Angles in the alternate segment are equal. 

(image credit:www.bbc.co.uk)

I hope this was useful to you.
Hope everyone has a great weekend. :)
Jonathan

#steemitschool - Circle theorems | Ecency