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GeoGebra Classroom

Circle Properties Investigative Activity 3

Autor:Nurul Nadia, Thomas Yeo

Instructions: In the diagram below, OA and OC are radii of the circle. AB and BC are chords in the circle. Angles AOC and ABC are subtended by the arc ABC. Move points A, B and C around such that the values of the angles change.

Which of the following do you observe to always be true?

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A
Angle AOC = Angle ABC
B
Angle AOC = 2 (Angle ABC)
C
Angle ABC = 2 (Angle AOC)

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What can you conclude?

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A
The angle at the centre is the same as the angle at the circumference
B
The angle at the centre is twice the angle at the circumference
C
The angle at the centre is half the angle at the circumference.

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