Sunday, February 12, 2017

Sine and Cosine Law

Circle Theorems

Saturday, February 4, 2017

Fractions

Quadratic Function Solver

This widget may help you to check your an during your revision.
Quadratic Equation Solver
* x^2 + * x + = 0
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SYSTEM OF LINEAR EQUATIONS

Systems of Equation Solver (you can leave an equation blank)
Equation #1
Equation #2
Equation #3
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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.

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.


Circle Theorems - angles on the same arc

Investigate angles on the same arc. Move the points - what do you notice?

Angle in a Semi-circle 1

Move point A or D. What do you notice about the angles?


Angle in a Semi-circle 2

Angle in a semi-circle -proof.




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?




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?



Cyclic Quadrilateral 3

This shows how both pairs of opposite angles in a cyclic quadrilateral sum to 180°

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