5 Vectors and transformation geometry
- Syllabus
- 2017
- Section
- 5
- Level
- Foundation
Exam analysis
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In this section
Topic 5.2
5.2 Transformation geometry
Objectives in this topic
5.2.A Specifying rotations
Understand that a rotation is specified by a centre and an angle.
5.2.B Rotate a shape about a point through a given angle
rotate a shape about a point through a given angle
5.2.C Positive and negative rotations
recognise that an anti-clockwise rotation is a positive angle of rotation and a clockwise rotation is a negative angle of rotation
5.2.D Reflection in a mirror line
understand that reflections are specified by a mirror line Such as x = 1, y = 2, y = x, y – x = 0
5.2.E Constructing mirror lines and reflections
Construct a mirror line from an object and its image, and reflect a shape in a given mirror line.
5.2.F Translation by distance and direction
understand that translations are specified by a distance and direction
5.2.G Translate a shape
translate a shape
5.2.H Column vectors in translations
understand and use column vectors in translations
5.2.I Rigid transformations and congruence
Understand that rotations, reflections and translations preserve lengths and angles, so the image remains congruent to the original.
5.2.J Specifying enlargements
Understand that an enlargement is specified by a centre and a positive scale factor, including fractional scale factors.
5.2.K Angle and length effects of enlargement
Understand that enlargements preserve angles but do not generally preserve lengths.
5.2.L Enlarge a shape given the scale factor With or without
enlarge a shape given the scale factor With or without a centre given
5.2.M Complete descriptions of transformations
Identify transformations and give complete descriptions of them.