Category: Matrices And Transformations

QUESTION AND ANSWER ON MATRICES AND TRANSFORMATION MODEL06012023013

5/1/2023

Comments

QUESTION AND ANSWER ON MATRICES AND TRANSFORMATION MODEL06012023008

5/1/2023

Comments

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

Comments

(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)

Comments

T is a transformation represented by the matrix

27/11/2021

Comments

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:

Comments

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

24/9/2020

Comments

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

Comments

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

24/9/2020

Comments

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

Comments

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

22/9/2020

Comments

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

Comments

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

21/9/2020

Comments

Form 4 Mathematics

answer

Comments

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

20/9/2020

Comments

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

Comments

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

17/9/2020

Comments

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

Comments

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

16/9/2020

Comments

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

Comments

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

15/9/2020

Comments

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

Comments

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

14/9/2020

Comments

Form 4 Mathematics

answer

Comments

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

11/9/2020

Comments

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

Comments

K.C.S.E Mathematics Q & A - MODEL 2014PP2QN07

8/9/2020

Comments

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

Comments

K.C.S.E Mathematics Q & A - MODEL 2013PP2QN16

3/9/2020

Comments

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

Comments

K.C.S.E Mathematics Q & A - MODEL 2012PP2QN18

1/9/2020

Comments

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

Comments

K.C.S.E Mathematics Q & A - MODEL 2012PP1QN11

31/8/2020

Comments

Form 4 Mathematics

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2011PP2QN19

28/8/2020

Comments

Form 4 Mathematics

The vertices of a rectangle are A(-l,-l), B(-4 ,-l),C(-4-3) and D(-l,-3).

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2009PP2QN20

21/8/2020

Comments

Form 4 Mathematics

Triangle PQR shown on the grid has vertices p(5,5), Q(10, 10) and R(10,15)

a) Find the coordinates of the points p‟, Q‟ and R‟ and the images of P, Q and R respectively under transformation M whose matrix is

b) Given that M is a reflection;
i) draw triangle P‟Q‟R‟ and the mirror line of the reflection;
ii) Determine the equation of the mirror line of the reflection
c) Triangle P” Q” R” is the image of triangle P‟Q‟R‟ under reflection N is a reflection in the y-axis.
i) draw triangle P”Q”R”
ii) Determine a 2 x2 matrix equivalent to the transformation NM
iii) Describe fully a single transformation that maps triangle PQR onto triangle P”Q”R”

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2009PP2QN09

20/8/2020

Comments

Form 4 Mathematics

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2009PP1QN17

19/8/2020

Comments

Form 2 Mathematics

In the figure below (not drawn to scale), AB = 8cm, AC= 6cm, AD= 7cm, CD= 2.82 cm and angle CAB =50⁰

Calculate, to 2 decimal places
a) The length BC,
b) The size of angle ABC,
c) The size of angle CAD,
d) The area of triangle ACD
b) Express vector NM in terms of OB

OP = OM + 2 MN, find the coordinates of P.

answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2008PP2QN10

18/8/2020

Comments

Form 4 Mathematics

Points A(2,2)and B(4,3) are mapped onto A‟(2,8) and b‟ (4,15) respectively by a transformation T.
Find the matrix of T.

answer

Comments

K.C.S.E Mathematics Q & A - MODEL 2002PP1QN022

14/8/2020

Comments

Form 4 Mathematics

A triangle T whose vertices are A (2,3) B(5,3) and C (4,1) is mapped onto triangle T¹ whose vertices are A¹ (-4,3) B¹ (-1,3) and C¹ (x,y) by a transformation

Find the:

(i) Matrix M of the transformation

(ii) Coordinates of C₁

b) Triangle T² is the image of triangle T¹ under a reflection in the line y = x.

Find a single matrix that maps T and T² (8mks)

Answers

Comments

K.C.S.E Mathematics Q & A - MODEL 2006PP2QN19

11/8/2020

Comments

Form 4 Mathematics

Triangle ABC is shown on the coordinates plane below

(a) Given that A (-6, 5) is mapped onto A (6,-4) by a shear with y- axis invariant
(i) draw triangle A"B"B", the image of triangle ABC under the shear
(ii) Determine the matrix representing this shear
(b) Triangle A B C is mapped on to A" B" C" by a transformation defined by the matrix (1 1)
(i) Draw triangle A" B" C"
(ii) Describe fully a single transformation that maps ABC onto A"B" C"

answers

Comments

<<Previous

Atika School HAS A VARIETY OF MATHEMATICS QUESTIONS AND ANSWERS SORTED ACCORDING TO LEVELS, PAPERS AND TOPICS

KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​(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 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)

​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:

Form 4 Mathematics

24

Form 4 Mathematics

14

Form 4 Mathematics

N.18

Form 4 Mathematics

15

Form 4 Mathematics

20

Form 4 Mathematics

18

Form 3 Mathematics

N.21

Form 4 Mathematics

23

Form 4 Mathematics

3

Form 4 Mathematics

24

Form 4 Mathematics

7

Form 4 Mathematics

16

Form 4 Mathematics

18

Form 4 Mathematics

11

Form 4 Mathematics

19

Form 4 Mathematics

20

Form 4 Mathematics

9

Form 2 Mathematics

17

Form 4 Mathematics

10

Form 4 Mathematics

22

Form 4 Mathematics

19

Categories

Archives

HIGH SCHOOL EXAMINATIONS

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

(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,

(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)

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: