KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
ALT B  rotation  SECTION 1  QUESTION 15  KCSE 2010  FORM 2 LEVELThe figure below shows a quadrilateral ABCD and its image A'B'C'D' under a rotation. Determine:
(a) the centre of rotation; (2 marks) (b) the angle of rotation. (1 mark)
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QUESTION 3  KCSE 2021  Rotation  PAPER 1  FORM 2 LEVELComplete the figure below to show a rotational symmetry of order 3 about O. (3 marks)
Form 2 MathematicsForm 2 Mathematics
A triangle T With vertices A (2,4), B (6,2) and C (4,8) is mapped onto triangle T’ with vertices A'(10,0) , B'(8,—4) and C'(14,—2) by a rotation.
(a) On the grid provided draw triangle T and its image. (b) Determine the centre and angle of rotation that maps T onto T'. Form 2 Mathematics
On the grid below, an object T and its image T’ are drawn
a) Find the equation of the mirror lien that maps T onto Tʹ.
b i)Tʹ is mapped onto Tʺ by positive quarter turn about (0,0). Draw Tʺ ii) Describe a single transformation that maps T onto Tʺ c) Tʺ is mapped onto Tʺʹ by an enlargement, centre (2,0), scale factor 2 . Draw Tʺʹ d) Given that he area of Tʺʹ is 12cm2, calculate the area of Tʺʹ . Form 2 MathematicsForm 2 Mathematics
The vertices of quadrilateral OPQR are O (0,0), P(2,0), Q(4,2) and R(0,3).
The vertices of its image under a rotation are O'(l, 1), P'(l, 3), Q'(3, 5) and R'(4, 1). (a) (i) On the grid provided, draw OPQR and its image O'P'Q'R'. (ii) By construction, determine the centre and angle of rotation. (b) On the same grid as (a) (i) above, draw O"P"Q"R", the image of O'P'Q'R' under a reflection in the line y = x. (i) directly congruent; (ii) oppositely congruent. Form 2 Mathematics
In the figure below, ABCD is a square. Points P, Q, R and S are the midpoints of AB, BC, CD and DA respectively.
(a) Describe fully:
(i) a reflection that maps triangle QCE onto triangle SDE; (ii) an enlargement that maps triangle QCE onto triangle SAE; (iii) a rotation that maps triangle QCE onto triangle SED. (b) The triangle ERC is reflected on the line BD. The image of ERC under the reflection is rotated clockwise through an angle of 90° about P. Determine the images of R and C: (i) under the reflection; (ii) after the two successive transformations. 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 yaxis. 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” Form 2 Mathematics
The diagram below shows a triangle ABC with A (3, 4), B (1, 3) and C (2, 1).
a) Draw triangle A'B'C' the image of ABC under a rotation of +90^{0+} about (0, 0).
b) Drawn triangle A"B" the image of A"B'C" under a reflection in the line y=x. c) Draw triangle A"B" C. the image under a rotation of 90^{0} about (0, 0) d) Describe a single transformation that maps triangle ABC"" onto angle A"""B"""C""" e) Write down the equations of the lines of symmetry of the quadrilateral BB"A""A Form 2 MathematicsThe diagram on the grid provided below shows a trapezium ABCD on the same grid.
Form 2 MathematicsA triangle is formed by the coordinates A (2,1), B(4,1) and C(1,6). It is rotated clockwise through 90^{0} about the origin. Find the coordinates of this image. On the grid provided on the opposite page ABCE is a trapezium(a) ABCD is mapped onto A‟B‟C‟D‟ by a positive quarter turn. Draw the image A‟B‟C‟D‟ on the grid. ( 1 mark)(i) Obtain the coordinates of A” B” C” D” on the grid ( 2 marks)(ii) Plot the image A” B” C” D” on the grid (1 mark) (c) Determine a single matrix that maps A” B” C” D” ( 4 marks) 
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