Showing posts with label Maths 2. Show all posts
Showing posts with label Maths 2. Show all posts
Thursday, February 9, 2017
Saturday, February 4, 2017
Thursday, February 2, 2017
Circle Theorems
Circles and Angles 1
Compare the angle at the centre to the angle on the circle. Move the points and become familiar with different versions of the diagram.
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Circles and Angles 2
Compare the angle at the centre to the angle on the circle (obtuse and reflex angles). Move the points and become familiar with different versions of the diagram.
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Circle Theorems - angles on the same arc
Investigate angles on the same arc. Move the points - what do you notice?
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Angle in a Semi-circle 1
Move point A or D. What do you notice about the angles?
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Angle in a Semi-circle 2
Angle in a semi-circle -proof.
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Circle theorems - Cyclic Quadrilaterals
Move point A or C. What do you notice about the angles?
Move point B or D. What do you notice? Can you explain these results?
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Circle theorems - Cyclic quadrilaterals
Look at the angles on each arc separately.
Look at both at the same time and move the points.
What do you notice?
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Cyclic Quadrilateral 3
This shows how both pairs of opposite angles in a cyclic quadrilateral sum to 180°
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