Geometry
Pythagoras
Pythagoras' theorem - in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Angles
Angles in a triangle add up to 180掳 and in quadrilaterals add up to 360掳. Angles can be calculated inside semicircles and circles. Parallel lines in shapes can form corresponding and alternate angles.
Scale factor
Similar figures are identical in shape, but generally not in size. A missing length on a reduction/enlargement figure can be calculated by finding its linear scale factor.
Video playlist
The Approximate History of Pythagoras. Video
An animated guide to the mathematical ideas of Pythagoras.
Links
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