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Aula GeoGebra

Circle Properties Activity 3

Persoa autora:Thomas Yeo

Tema(s):Círculo

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 AC. Move points A, B and C around such that the values of the angles change.

What do you observe?

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A
Angle AOC = Angle ABC
B
Angle AOC = 2 (Angle ABC)
C
Angle AOC = 3 (Angle ABC)
D
Angle AOC = 4 (Angle ABC)

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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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