Form 2 MathematicsThe diagram below is a part of a figure which has rotational symmetry of order 4 about O. 
(a) Complete the figure ( 1 mark) (b) Draw all the lines of symmetry of the completed figure ( 2 marks)
Answer
Form 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'.
answer
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 .
answers
Form 2 MathematicsIn the figure below, triangle A’B’C’ is the image of triangle ABC under a rotation, centre O. 
By construction, find the label the centre O of the rotation. Hence, determine the angle of the rotation.
Answer
Form 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.
answers
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.
answers
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
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 +900+ 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 -900 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
answers
Form 2 MathematicsThe diagram on the grid provided below shows a trapezium ABCD on the same grid.
Answer
Form 2 MathematicsA triangle is formed by the coordinates A (2,1), B(4,1) and C(1,6). It is rotated clockwise through 900 about the origin. Find the coordinates of this image.
ANSWER
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) MARKING SCHEME
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