KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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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.
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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)upper-row (1 -2)lower-row. (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)upper-row (0 -1)lower-row. 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 (x-1 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 co-ordinates 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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