7. Transformations and vectors
- Syllabus
- 0580–2028–2029
- Section
- 7
- Level
- Extended
Exam analysis
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In this section
Topic E7.1
E7.1 Transformations
Objectives in this topic
E7.1.1 Reflection of a shape in a straight line.
- Reflection of a shape in a straight line.
E7.1.2 Rotation of a shape about a centre through multiples of 90°.
- Rotation of a shape about a centre through multiples of 90°.
E7.1.3 Enlargement of a shape from a centre by a scale factor.
- Enlargement of a shape from a centre by a scale factor.
E7.1.4 Translation 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.
Topic E7.2
E7.2 Vectors in two dimensions
Objectives in this topic
E7.2.1 Describe 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.
E7.2.2 Add and subtract vectors.
- Add and subtract vectors.
E7.2.3 Multiply a vector by a scalar
- Multiply a vector by a scalar. Vectors will be printed as AB or a.
Topic E7.3
E7.3 Magnitude of a vector
Objectives in this topic
E7.3.1 Calculate the magnitude of a vector x y J L KK N P OO as xy22+
- 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.
Topic E7.4
E7.4 Vector geometry
Objectives in this topic
E7.4.1 Represent vectors by directed line segments.
- Represent vectors by directed line segments.
E7.4.2 Use position vectors.
- Use position vectors.
E7.4.3 Use 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.
E7.4.4 Use 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.