Apply the Angles in the Same Segment Rule

Circles are all around us in everyday life.

How many examples can you think of?

Can you see any circular shapes in objects around you at this moment?

Mathematicians have investigated circles for centuries because of their love of pure mathematics.

The ability to learn, understand and apply circle theorem is an essential, but challenging, geometric skill. 

For this reason, we usually only see circle theorem questions on the Higher GCSE exam paper. 

It is also common for circles and angles to be linked in questions, so we may need to apply our knowledge of angle properties too. 

In this activity, we will focus on one specific theory relating to circles:

Angles in the same segment are always equal. 

Let's look at how this theory works now and why it is always true. 

1.2.

3.4.

Let's put this theory into practice now in some geometric problems.