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Maths (school) · Part 07

Shape and space

Transformations, similar shapes, bearings, vectors and constructions.

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  1. ReflectionFlipping a shape over a mirror line so each point lands the same distance on the other side.
  2. RotationTurning a shape around a fixed point, called the centre of rotation, by a certain angle and direction.
  3. TranslationSliding a shape without turning or flipping it. Every point moves the same distance in the same direction.
  4. EnlargementMaking a shape bigger or smaller by a scale factor, from a fixed point called the centre of enlargement.
  5. Congruent shapesShapes that are exactly the same size and shape. One can be moved onto the other by sliding, turning or flipping.
  6. Similar shapesShapes with the same angles but different sizes. Matching sides are in the same ratio, called the scale factor.
  7. BearingsA way to give a direction as an angle measured clockwise from north, always with three digits.
  8. VectorsA vector has both a size and a direction. It is written as a column of numbers showing the move across and up.
  9. ConstructionsAccurate drawings made with a pair of compasses and a ruler, without measuring angles.