Builder Series

# Circle Theorems

Using knowledge gained from the angles section of this manual we can use circle theorems to calculate missing angles without the need for a protractor.

Circle Theorems

## Circle theorems are properties which show the relationship between angles within the geometry fo a circle

An understanding of circle theorems has many important uses, including for design and engineering work. Being able to visualise and work with angles using an understanding of the geometry of a circle allows many powerful calculations and mental plans to be made. Being able to do these mentally, without the need to use tools such as a protractor is important for design work.

Builder Series
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### Circle theorems

#### Use Mathomat shapes to explore and understand the midpoint theorem

Michelle Du Toit begins this inivesigation by using Mathomat shape 33, the trapezium, to draw parallel sides. She the encloses the trapezium in a triangle.

Builder Series
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### More circle theorems

#### Using Mathomat with circle theorems 3,4 and 5

We use Mathomat in these investigations to explore the geometry of the circle. In the first activity we use Professor Tisdell's TGT to understand circle theorem

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### More circle theorems II

#### Using Mathomat to understand circle theorems 6 & 7.

These activities involve students in accurate, elegant, geometric construction which builds confidence in geometric reasoning through proof.

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This 116 page book of investigations with Mathomat reveal the passion for teaching of Craig Young, the designer of the original Mathomat.
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