IGCSE Maths / Transformation and similarity

Combining two transformations revision notes

Edexcel International GCSE Maths (4MA1), chapter 14: Transformation and similarity, specification point 5.2m. Part of the full course.

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Combining transformations means applying two moves in order, then finding the single transformation that maps the original shape to the final image. The order matters because the second move acts on the image made by the first.

More lessons in Transformation and similarity

• Lines of symmetry and rotational symmetry
• Equations of common mirror lines
• Reflecting a shape in a line
• Reflecting in y = x and y = -x
• Finding the mirror line from object and image
• What defines a rotation
• Rotating a shape about a point
• Positive and negative rotation angles
• Rotating about a point not on the shape
• What defines a translation
• Translating a shape
• Column vectors in translations
• Congruence under transformations
• Describing a single transformation fully
• What defines an enlargement
• Similarity under enlargement
• Enlarging from a given centre
• Fractional scale factor enlargements
• Finding the centre of enlargement
• Conditions for congruent triangles
• Proving triangles are congruent
• Similar shapes: corresponding lengths
• Area scale factor
• Volume scale factor
• Similar solids, mass and capacity
• Similar shapes problem solving