Study Mathematics notes on Geometric Transformation for Secondary. Useful for revision, homework, and exam preparation in Zimbabwe.
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GEOMETRIC TRANSFOMATION
- Geometric Transformation involves the change in the size, shape, orientation or position of an object.
- The original shape or figure before transformation is called the object or preimage. The new figure after transformation is called Image.
- The image of point A under the transformation is labelled using the symbol such as $A^{\prime}$ read as A prime or using the subscript notation, $A_{1}$ e.g the image of $\triangle A B C$ is after the first transformation is named $\Delta A^{\prime} B^{\prime} C^{\prime}$ or $\Delta A_{1} B_{1} C_{1}$, $\Delta A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ or $\Delta A_{2} B_{2} C_{2}$ after the second transformation, etc.
Six basic types of transformations
(a) Translation,
(b) Reflection,
(c) Rotation,
(d) Enlargement,
(e) Shear
(f) Stretch (one-way and two-way-stretch).
Translation(T)
- A translation is a movement, along a straight line, in a fixed direction without any turning.
- Translation can be described informally as a sliding movement.
- The movement can be
◯ Horizontally (right or left),
◯ Vertically (up or down),
◯ Diagonally(across).
- When an object undergoes a translation, all points on the object move the same distance and the same direction.
- Object and Image have the same shape and size(congruent).
- Object and Image face the same direction (have same orientation).
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