3.3.4 Transformation III, SPM Paper 2 (Long Questions)

Question 7:Diagram shows the point J(1, 2) and quadrilaterals ABCD and EFGH, drawn on a Cartesian plane.(a) Transformation U is a rotation of 90o, clockwise about the centre O.Transformation T is a translation  ( 2 3 )  Transformation R is a reflection at the line x = 3.State the coordinates of the image of point J under each of the following transformations:(i) RU,(ii) TR.(b) EFGH is the … Read more

3.1d Describing the Combination of Two Transformations Given the Object and the Image

3.1d Describing the Combination of Two Transformations Given the Object and the Image   Example 1: In the diagram above, triangle KLM is the image of triangle ABC under the combined transformations VW. Describe in full, the transformation W and the transformation V. Solution: Figure ABC → W→ Figure KB’C’ → V → Figure KLM W = … Read more

3.1b Determining the Image of an Object under Combination of (a) Two Enlargements or (b) an Enlargement and an Isometric Transformation

3.1b Determining the Image of an Object under Combination of (a) Two Enlargements or (b) an Enlargement and an Isometric Transformation   1. Enlargement is a transformation where all points of an object on a plane move from a fixed point at a constant ratio.   2. The fixed point is called the centre of enlargement and … Read more

3.1a Determining the image of an object under the combination of two isometric transformations

3.1a Determining the image of an object under the combination of two isometric transformations 1. Translations, reflections and rotations are isometric transformations.   2. In an isometric transformation, the shape and the size of the image is the same as the object.   3. For two transformations, A and B, (a) Combined transformation AB represents transformation B followed … Read more