Form 4 Mathematics
(b) On the grid provided draw PQRS and its image P'Q'R'S’
(ii) On the same Grid draw P"Q"R‘S”.
(d) (i) Find a single matrix that maps P"Q"R’S" onto P’Q’R’S’. (ii) Describe fully the transformation thai maps P"Q”R"S" onto P’Q’R’s’.
answers
Form 4 Mathematics
The vertices of a triangle PQR are P(-3, 2), Q(0,-1) and R(2, -1). A transformation matrix maps triangle PQR onto triangle P’Q' R' whose vertices are P'(-7, 2), Q'(2, -1) and R’(4, -1).
Find M-1, the transformation that maps P'Q'R' onto PQR.
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Form 4 MathematicsTriangles ABC and A”B”C” are drawn on the Cartesian plane provided. Triangle ABC is mapped onto A”B”C” by two successive transformations 
(a) Find R ( 4 marks) (b) Using the same scale and axes, draw triangles A’B’C’, the image of triangle ABC under transformation R ( 2 marks) (c) Describe fully, the transformation represented by matrix R ( 2 marks)
Answer
Form 4 Mathematics
The diagram below shows triangle ABC with vertices A(-1, -3), B(1, -1) and C(0,0), and line M.
(a) Draw triangle A'B'C' the image of triangle ABC under a reflection in the line M.
(i) Draw triangle A"B"C"
(ii) Describe fully the transformation represented by matrix T. (iii) Find the area of triangle A’B'C' hence find area of triangle A"B"C".
answers
Form 4 Mathematics
The vertices ofa rectangle ABCD are: A(0,2), B(0,4), C(4,4) and D(4,2). The vertices of its image under a transformation T are; A’(0,2) , B’(0,4) , C’(8,4) and D’(8,2).
On the grid provided, draw the rectangle ABCD and its image A’B’C’D’ under T. (ii) Describe fully the T. (iii) Determine the matrix of transformation. (b). On the same grid as in (a), draw the image of rectangle ABCD under a shear with line x =-2 invariant and A(0, 2) is mapped onto A”(0,0).
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Form 3 MathematicsTriangle ABC is the image of triangle PQR under the transformation 
(b) Triangle ABC in part (a) above is to be enlarged scale factor 2 with centre at (11, -6) to map onto A’B’C. Construct and label triangle A’B’C’ on the grid above. (c) By construction find the coordinates of the centre and the angle of rotation which can be used to rotate triangle A’B’C’ onto triangle A” B” C”, shown on the grid above.
Answer
Form 4 Mathematics
A quadrilateral with vertices at K (1, 1), L (4, 1), M (2, 3) and N (1, 3) is transformed by a matrix
a) Determine the coordinates of the image
(b)On the grid provided draw the object and the image. c)i)Describe fully the transformation which maps KLMN onto K’L’M’N ii) Determine the area of the image d) Find a matrix which maps K’L’M’N’ onto KLMN.
answers
Form 4 Mathematics
a) Determine the coordinates of the image
b) On the grid provided draw the object and the image c i)Describe fully the transformation which maps KLMN onto K'L'M'N' ii)Determine the area of the image. d)Find a matrix which maps K'L'M'N' onto KLMN
answers
Form 4 Mathematics
In a transformation, an object with an area of 5 cm2 is mapped onto an image whose area is 30cm2. Given that the matrix of the transformation is
answer
Form 4 Mathematics
The vertices of triangle T are A(1, 2), B(4, 2) and C(3, 4). The vertices of triangle Tʹ, the image of T are Aʹ(1/2 ,1) , Bʹ(2,1) and Cʹ(3/2. 2).
answer
Form 4 Mathematics
(ii) On the same grid draw O" A" B" C".
(c) Find the single matrix that maps O" A" B" C" onto OABC.
answers
Form 4 Mathematics
The vertices of a rectangle are A(-l,-l), B(-4 ,-l),C(-4-3) and D(-l,-3).
answers
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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