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7. Transformations and vectors

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  1. E7.1 Transformations

    1. E7.1.1Reflection of a shape in a straight line.

      • Reflection of a shape in a straight line.

    2. E7.1.2Rotation of a shape about a centre through multiples of 90°.

      • Rotation of a shape about a centre through multiples of 90°.

    3. E7.1.3Enlargement of a shape from a centre by a scale factor.

      • Enlargement of a shape from a centre by a scale factor.

    4. E7.1.4Translation of a shape by a vector x y J L KK N P OO

      • Translation of a shape by a vector x y J L KK N P OO. Questions may involve combinations of transformations. A ruler must be used for all straight edges. Positive, fractional and negative scale factors may be used.

  2. E7.2 Vectors in two dimensions

    1. E7.2.1Describe a translation using a vector represented by x y J L KK N P OO,

      • Describe a translation using a vector represented by x y J L KK N P OO, AB or a.

    2. E7.2.2Add and subtract vectors.

      • Add and subtract vectors.

    3. E7.2.3Multiply a vector by a scalar

      • Multiply a vector by a scalar. Vectors will be printed as AB or a.

  3. E7.3 Magnitude of a vector

    1. E7.3.1

      • Calculate the magnitude of a vector x y J L KK N P OO as xy22+. The magnitudes of vectors will be denoted by modulus signs, e.g. • a is the magnitude of a • AB is the magnitude of AB.

  4. E7.4 Vector geometry

    1. E7.4.1Represent vectors by directed line segments.

      • Represent vectors by directed line segments.

    2. E7.4.2Use position vectors.

      • Use position vectors.

    3. E7.4.3Use the sum and difference of two or more vectors to express given

      • Use the sum and difference of two or more vectors to express given vectors in terms of two coplanar vectors.

    4. E7.4.4Use vectors to reason and to solve geometric problems

      • Use vectors to reason and to solve geometric problems. Examples include: • show that vectors are parallel • show that 3 points are collinear • solve vector problems involving ratio and similarity.