KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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The figure below shows a quadrilateral ABCD and a mirror line M1M2
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 16
Form 2 Mathematics
A triangle ABC with Vertices A (2,2),B (1,4)and C (1,4) is mapped on to triangle A'B'C' by a reflection in the line y=x+1.
(a) On the grid provided draw (i) triangle ABC (ii) the line y = x + 1; (iii) triangle A'B'C'. (b) Triangle A"B"C" is the image of triangle A'B'C' under a negative quarter turn (0,0). On the same grid, draw triangle A"B"C". (c) State the type of congruence between triangles: (i) ABC and A’B’C’; (ii) A’B’C’ and A”B”C” 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". 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 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
Three vertices of a parallelogram PQRS are P(l, 2), Q(8, 5) and R (5,0).
(a) On the grid provided below draw the parallegram PQRS. (b) Determine the length of the diagonal QS. 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
On the Cartesian plane below, triangle PQR has vertices P(2, 3), Q ( 1,2) and R ( 4,1) while triangles P" Q" R" has vertices P" (2, 3), Q" ( 1,2) and R" ( 4, 1)
(a) Describe fully a single transformation which maps triangle PQR onto triangle P"Q"R"
(b) On the same plane, draw triangle P"Q"R", the image of triangle PQR, under reflection in line y = x (c) Describe fully a single transformation which maps triangle P"Q"R" onto triangle P"Q"R (d) Draw triangle P"Q"R" such that it can be mapped onto triangle PQR by a positive quarter turn about ( 0,0) (e) State all pairs of triangle that are oppositely congruent Form 2 MathematicsForm 2 MathematicsThe diagram on the grid provided below shows a trapezium ABCD on the same grid.
Form 2 Mathematics  Topical Questions and Answers
A solid made up of a conical frustum and a hemisphere top as shown in the figure below. The dimensions are as indicated in the figure.
Related Questions on Surface area of Solids 
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