KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
Form 4 Mathematics
0 Comments
Form 4 MathematicsForm 4 MathematicsForm 4 MathematicsForm 4 MathematicsForm 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” 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.
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. Form 4 MathematicsA 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) 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" Form 4 Mathematics
A translation maps a point P (3,2) onto P’ (95,5)
Form 4 MathematicsForm 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. Form 4 MathematicsMore Questions on Matrices and transformations II |
Categories
All
Archives
December 2024
Latest Posts |
Primary Resources
College Resources
|
Secondary Resources
|
Contact Us
Manyam Franchise
P.O Box 1189 - 40200 Kisii Tel: 0728 450 424 Tel: 0738 619 279 E-mail - sales@manyamfranchise.com |