## 3.3 Transformation III, SPM Paper 2 (Long Questions)

Question 5:(a) Diagram below shows two points, M and N, on a Cartesian plane.Transformation T is a translation (  3 −1 ) and transformation R is an anticlockwise rotation of 90o about the centre (0, 2).(i) State the coordinates of the image of point M under transformation R.(ii) State the coordinates of the image of … Read more3.3 Transformation III, SPM Paper 2 (Long Questions)

## 3.3 Transformation III, SPM Paper 2 (Long Questions)

Question 4: Diagram below shows three triangles RPQ, UST and RVQ, drawn on a Cartesian plane. (a) Transformation R is a rotation of 90o, clockwise about the centre O. Transformation T is a translation ( 2 3 ) . State the coordinates of the image of point B under each of the following transformations: (i) … Read more3.3 Transformation III, SPM Paper 2 (Long Questions)

## 3.2 Solving Problems involving Transformations

3.2 Solving Problems involving Transformations Example: The diagram below shows the triangles ABC,SQT and PQR. (a)Transformation T is a translation (  5 −2 )   Transformation P is a reflection in the straight line y = 7. State the coordinates of the image of point A under each of the following transformations: (i) Transformation T, (ii) … Read more3.2 Solving Problems involving Transformations

## 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 more3.1d Describing the Combination of Two Transformations Given the Object and the Image

## 3.1c Stating the Coordinates of the Image of a Point under a Combined Transformation

3.1c Stating the Coordinates of the Image of a Point under a Combined Transformation   1. The coordinates of the image of a point, K, under the combined transformation AB can be determined by the following steps.   Step 1: Determine the coordinates of K’, the image of K, under the first transformation, B. Step 2: … Read more3.1c Stating the Coordinates of the Image of a Point under a Combined Transformation

## 3.3 Transformation III, SPM Paper 2 (Long Questions)

Transformation III, Long Questions (Question 2) Question 3: (a) Transformation P is a reflection in the line x = m. Transformation T is a translation ( 4 − 2 ) . Transformation R is a clockwise rotation of 90o about the centre (0, 4). (i) The point (6, 4) is the image of the point ( –2, 4) … Read more3.3 Transformation III, SPM Paper 2 (Long Questions)

## 3.3 Transformation III, SPM Paper 2 (Long Questions)

Further Practice: Transformation III, Long Questions (Question 1)   Question 1: (a) Transformation T is a translation ( − 4 2 ) and transformation P is an anticlockwise rotation of 90oabout the centre (1, 0). State the coordinates of the image of point (5, 1) under each of the following transformation: (i) Translation T, (ii) Rotation P, … Read more3.3 Transformation III, SPM Paper 2 (Long Questions)

## 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 more3.1b Determining the Image of an Object under Combination of (a) Two Enlargements or (b) an Enlargement and an Isometric Transformation

## 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 more3.1a Determining the image of an object under the combination of two isometric transformations