KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
 MATRICES AND TRANFORMATIONS  FORM 4 LEVEL  SECTION II  PAPER 1  ALT B  KCSE 2011  QUESTION 20 The figure below shows triangle ABC with coordinates A (1, 3), B (1, 1) and C (3, 2).
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ALT B  MATRICES & TRANSFORMATIONS  SECTION 1  QUESTION 17  KCSE 2010  FORM 4 LEVELThe points A(6,1), B(3,2), C(4,5) and D (9,5) are vertices of an object ABCD as shown in the figure below.
QUESTION 11  KCSE 2023  MATRICES & TRANSFORMATION  PAPER 2  FORM 4 LEVEL
A transformation matrix T = [1 0] [k 0] maps P(2, 3) onto P'(2, 10). Point Q(4, 4) is transformed under the same matrix T. Find the coordinates of Q', the image of Q. (3 marks)
T = \begin{pmatrix} 1 & 0 \\ K & 0 \\ \end{pmatrix}
QUESTION 18  KCSE 2023  MATRICES & TRANSFORMATIONS  PAPER 1  FORM 4 LEVELOn the following grid, triangle PQR is drawn.
QUESTION 21  KCSE 2021  MATRICES & TRANSFORMATIONS  PAPER 2  FORM 4 LEVELThe vertices of the triangle shown on the grid are A' (3,3), B' (1,1) and C' (3,1). Triangle A'B'C' is the image of triangle ABC under a transformation whose matrix is (0 1)upperrow (1 2)lowerrow. (a) Find the coordinates of triangle A, B and C. (4 marks)
(b) Triangle A"B"C" is the image of triangle A'B'C' under a transformation matrix (2 marks) (2 0)upperrow (0 1)lowerrow. Determine the coordinates of A", B" and C". (c) On the same grid provided, draw triangles ABC and A"B"C". (2 marks) (d) Determine a single matrix, that maps ABC onto A" B"C". (2 marks) In a transformation an object of area x cm² is mapped on to an image whose area is 13x cm².28/12/2023 QUESTION 15  KCSE 2021  Matrices & Transformations  PAPER 2  FORM 4 LEVELIn a transformation an object of area x cm² is mapped on to an image whose area is 13x cm². Given that the matrix of the transformation is [(x 7)upper row and (x1 3x)lower row] find the possible values of x. (3 marks)
QUESTION 9  KCSE 2021  Matrices & Transformations  PAPER 1  FORM 4 LEVELA translation T maps A(6, 2) onto A'(3, 5).
(a) Determine the translation vector T. (1 mark) (b) A point P'(4, 2) is the image of P under T. Determine the coordinates of P. (2 marks) QUESTION 19  KCSE 2022  MATRICES AND TRANSFORMATION  PAPER 2  FORM 4 LEVELmaps triangle A'B'C' into triangle A"B"C". The coordinates of point C" is (10, 8) and the area of triangle A"B"C" is 15 square units.
QUESTION 24  KCSE 2022  MATRICES AND TRANSFORMATIONS  PAPER 1  FORM 4 LEVELTriangle ABC and A'B'C' are drawn on the grid provided.
(a) Describe fully a single transformation that mapped triangle ABC onto triangle A'B'C'. (2 marks) (b) On the same grid, draw: (i) triangle A"B"C" the image of triangle A'B'C' under a rotation of +90° about Ο (0, 0). (2 marks) (ii) triangle A"B"C", the image of triangle A"B"C" under a reflection in the line y = x. (2 marks) (c) Draw the line of symmetry of triangle A'B'C' and hence determine its equation in the form y = mx +c, where m and c are constants. (4 marks) QUESTION 10  KCSE 2022  Matrices & Transformations  PAPER 1  FORM 4 LEVEL The image of P(2, 5) under a translation T is P'(2, 2). Q'(9,5) is the image of Q under the same translation T. Determine the coordinates of Q. (3 marks)KCSE REVISION QUESTION AND ANSWERS ON MATRICES AND TRANSFORMATION MODEL05052023003QUESTIONANSWER(a) A figure whose coordinates are A(2, 2), B(4, 1), C(4, 3) and D(2, 3) undergoes successive transformation ERS; where E, R and S are transformations represented by the matrices,On the grid provided, show the figure ABCD and its final image under the successive transformations ERS. (6mks)
(b) Find the matrix representing the single transformation mapping the image found in (a) above

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