What this topic covers
Topic 5: Vectors and Transformation Geometry has 3 subtopics:
- Transformations and Enlargement
- Translations and Vector Representation
- Vector Arithmetic and Geometric Proof
IGCSE Edexcel Higher Maths · Topic 10 of 12
Choose a subtopic. IGCSE Mathematics A Topic 5: Vectors and Transformation Geometry. 6 lessons in 3 subtopics.
Revise Topic 5: Vectors and Transformation Geometry for IGCSE Edexcel Higher Maths, including Transformations and Enlargement. 6 lessons across 3 subtopics.
6
Lessons
3
Subtopics
Topic 5: Vectors and Transformation Geometry has 3 subtopics:
6 lessons, grouped by subtopic.
Go back to the full IGCSE Edexcel Higher Maths topic list, or practise this topic with past-paper questions.
IGCSE Mathematics A Topic 5: Vectors and Transformation Geometry. 6 lessons in 3 subtopics.
A vector is a quantity with both a magnitude (size) and a direction, drawn as an arrow and written in bold as a or with an arrow as AB. The Vector Notation and Operations notes cover this in full.
The centre of enlargement is found by drawing lines through corresponding vertices of the object and image; the centre is where the lines meet. The Transformations and Similar Shapes notes cover this in full.
To add column vectors, add the top numbers together and the bottom numbers together, keeping them separate. The Vector Notation and Operations notes cover this in full.
A negative scale factor enlarges the shape and rotates it by 180° about the centre of enlargement, so the image appears on the opposite side of the centre. The Transformations and Similar Shapes notes cover this in full.
The resultant vector is the overall displacement of a journey made in stages, found by placing the vectors tip to tail and adding them. The Vector Notation and Operations notes cover this in full.
A reflection is described fully by stating the equation of the mirror line, such as y = 0, x = 0, y = x, y = -x or x = 3. The Basic Transformations notes cover this in full.
To describe a rotation fully, state the angle of rotation, the direction (clockwise or anticlockwise) and the coordinates of the centre of rotation. The Basic Transformations notes cover this in full.
Subtract the top numbers and the bottom numbers separately, taking care with negatives. The Vector Notation and Operations notes cover this in full.