Category: Matrices And Transformations

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,

2/12/2021

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(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)

(a) ERS =

(b) Find the matrix representing the single transformation mapping the image found in (a) above
back to the object figure ABCD. (2mks)

(c) A(2,2), B(2,0) and C(3,2) are co-ordinates of the vertices of triangle ABC. Triangle ABC undergoes a shear factor 3 parallel to the x-axis. Determine the coordinates of A’B’C’ (2mks)

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T is a transformation represented by the matrix

27/11/2021

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T is a transformation represented by the matrix

Under T, a square of area 10cm square is mapped onto a square of area 110cm square find the value of x. (3mks)

Worked Answer:

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN24

24/9/2020

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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

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN14

24/9/2020

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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.

answer

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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.18

22/9/2020

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Form 4 Mathematics

Triangles 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)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN15

21/9/2020

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Form 4 Mathematics

answer

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K.C.S.E Mathematics Q & A - MODEL 2018PP1QN20

20/9/2020

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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".

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K.C.S.E Mathematics Q & A - MODEL 2017PP2QN18

17/9/2020

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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).

answers

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K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.21

16/9/2020

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Form 3 Mathematics

Triangle 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

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K.C.S.E Mathematics Q & A - MODEL 2016PP2QN23

15/9/2020

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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

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K.C.S.E Mathematics Q & A - MODEL 2016PP2QN03

14/9/2020

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Form 4 Mathematics

answer

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K.C.S.E Mathematics Q & A - MODEL 2015PP2QN24

11/9/2020

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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

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