Combining transformations - Higher
Click to explore updated revision resources for GCSE Maths: Higher - Combined transformations, with step-by-step slideshows, quizzes, practice exam questions, and more!
Sometimes a shape is transformed using more than one step, for example a reflection followed by a rotation.
The combination of transformations can usually be described as a single transformation.
Example
1 of 3
To describe the transformation from V to Y as a single transformation, it is a translation by the A vector describes a movement from one point to another. A vector quantity has magnitude (size) and direction. \(\begin{pmatrix} -2 \\ -2 \end{pmatrix}\).
Question
Describe a single transformation that is equivalent to a reflection in the \(y\)-axis followed by a reflection in the \(x\)-axis.
Drawing a diagram will help.
The single transformation is a rotation 180° about the origin.
More guides on this topic
- NEW: Angles
- NEW: Angles in parallel lines
- NEW: Polygons
- NEW: Line and rotational symmetry
- NEW: Constructing triangles
- NEW: Ruler and compass constructions
- NEW: Loci
- NEW: Bearings
- NEW: Perimeter
- NEW: Area
- NEW: Volume of a prism
- NEW: Surface area of a prism
- NEW: Pyramids, cones and spheres
- NEW: Nets, plans and elevations
- NEW: Circumference and arc length
- NEW: Area of circles and sectors
- NEW: Higher – Circle Theorems – Calculating angles using circles
- NEW: Higher – Using the alternate segment theorem, tangents and chords
- NEW: Reflection
- NEW: Rotation
- NEW: Translation
- NEW: Enlargement
- NEW: Higher − Negative enlargements
- NEW: Higher – Combined transformations and invariant points
- NEW: Congruent and similar shapes
- NEW: Higher – Similarity in 2D and 3D shapes
- NEW: Pythagoras' theorem
- NEW: Solving 2D and 3D problems using Pythagoras' theorem
- NEW: Right-angled trigonometry
- NEW: Exact trigonometric values
- NEW: Higher – Sine rule
- NEW: Higher – Cosine rule
- NEW: Higher – 2D and 3D trigonometry problems
- NEW: Vectors
- NEW: Higher – Geometric problems using vectors
- Angles, lines and polygons - AQA
- Loci and constructions - AQA
- 2-dimensional shapes - AQA
- 3-dimensional shapes - AQA
- Circles, sectors and arcs - AQA
- Circle theorems - Higher - AQA
- Pythagoras' theorem - AQA
- Units of measure - AQA
- Trigonometry - AQA
- Vectors - AQA
