Builder Series

More circle theorems II

Activity number
0
3
in

Circle Theorems

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

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What you will need:

Colouring Materials - Pens or Pencils
Fine-point Pen/s
Mathomat V7 Template
Sharp Pencil/s
Unlined Paper / Scrap Paper

What you will learn in this activity:

Circle theorem 6 can be stated as, "If two tangents are drawn from the same point outside a circle they are equal in length". In this activity Michell Du Toit shows how Professor Tisdell's TGT in Mathomat can be used with the square, shape 25, and ruler edge to prove this theorem through geometric construction.

Circle theorem 7 can be stated as "The angle between a tangent to a circle and a chord drawn from the point of contact is equal to the angle in the alternate segment". We use the TGT in Mathomat with the rhombus, shape 22 to construct a proof for this theorem.

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

Support documents:

Activity Manual

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Activity Worksheet

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