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Symmetry Properties of Circles
- Equal chords are equidistant from the centre of the circle
- Perpendicular bisector of a chord passes through the centre
- Tangents from the external points are equal in length
- Angle between tangents from external point
- SPC: Question 1
- SPC: Question 2
- SPC: Question 3
- SPC: Question 4
- SPC: Question 5
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Symmetry Properties of Circles
Yoong Kheong, Sep 8, 2014
The basic interactive materials serve 2 purposes in teaching and learning of symmetry properties of circle: 1. Enable teachers to use it to illustrate the symmetry properties of circle, 2. Enable students to use it for exploratory purposes.
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1. Equal chords are equidistant from the centre of the circle
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2. Perpendicular bisector of a chord passes through the centre
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3. Tangents from the external points are equal in length
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4. Angle between tangents from external point
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5. SPC: Question 1
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6. SPC: Question 2
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7. SPC: Question 3
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8. SPC: Question 4
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9. SPC: Question 5
Equal chords are equidistant from the centre of the circle
Sliders for changing the following:
1. Radius of the circle,
2. Length of OX and OY and,
Red dots for rotating the respective chords:
1. CD and AB.
Pre-requisite knowledge and terms: Pythagoras Theorem, Perpendicular bisector, Radius, Chords, Equidistant
Task: Rotate the point X and point Y accordingly for Q1
Q1. Observe that there are two chords, AB and CD. What is the circumstance/situation will the chord CD and AB be equal?
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