BASIC TRANSFORMATIONS IN MATHS [PART OF UK & US SYLLABUSES]

BASICMATHEMATICALTRANSFORMATIONS[ A self-test with answers ]BASIC TRANSFORMATIONS[1] A (5 , -2) is transformed to A’ (-5 , 2). The above transformation can be described as …………………[A] rotation through 900,about the origin , anticlockwise direction[B] rotation through 900 about the origin, clockwise direction.[C] rotation through 1800 about the origin[D] reflexion in the y-axis[2] A ( -2 , 1) is transformed to A’ under translation using column vector, . The coordinates of the image, A’ under this transformation are ……………………….[A] (1 , 3) [B] (-6 , 2) [C] (6 , 2)[D] (-5 , -1)[3] A transformation is defined as f(x , y) = (3x , 3y).The above transformation is ……………………..[A] Reflection[B] Rotation[C] Translation [D] Enlargement[4] Consider the following transformation: ( 2 , 3 ) ( -2 , 3)Which of the following describes the above transformation ?[A] reflexion in the x-axis[B] reflexion in the Y-axis[C] rotation through 900 about the origin, clockwise[D]rotation through 900 about the origin ,anticlockwise[5] Point (-3 , 2) is rotated through 900 in the clockwise directionabout the origin . The coordinates of the image under this transformation are …………[A] (2 , 3)[B] (3 , -2)[C] (-3 , -2)[D] (-2 , 3)[6] Ann finds the image of P (5 , -2) using the transformation ‘stretch’ with x-axis as the invariant line and with scale factor 2. The coordinates of the image of P will be ………………………..[A] (5 , - 4)[B] (10, - 2)[C] (10 , -4)[D] (-10 , -4)[7] The vertices of a triangle are A( - 1.5 , 1 ) , B( 2 , 5 ) and C (2 , 4). When this triangle is enlarged using a scalar factor k , these vertices transform to A’(-3 , 2) , B’(4 , 10) and C’ (4 , 8) respectively. The value of k used as scale factor in this transformation is …………………..[A] 2 [B] 3[C] 4[D] 5[8] Consider a triangle lying in the first quadrant. Let this triangle is rotated through 1800 , about the origin’Which of the following is equivalent to the above transformation ?[A] rotation through 900 clockwise about the origin followed by reflection in the Y-axis[B] rotation through 900 anticlockwise about the origin and reflection in the Y-axis[C] reflection in the X-axis followed by reflection in the y-axis[D] None of the above[9] Jacquiline draws the images of a given rectangle using each of the following transformations. Which of them doesn’t give an image with the same area as the object ?[A] reflection in the y-axis[B] translation by using column vector[C] Rotation through 900, about the origin , anticlockwise[D] Stretch with scale factor 2[10] Kelly draws the graphs of two equations, y = x2 and y = x2 + 4 on the same graph sheet.The graph of the second equation will be ---------------------[A] a reflection of the first graph[B] a rotation of the first graph.[C] a translation of the first graph[D] a stretch of the first graphANSWERS(1) C - rotation through 1800(2) A – ( 1 , 3)(3) D – Enlargement(4) B – Reflection in the Y-axis(5) A – (2 ,3)(6) A – ( 5 , - 4)(7) A - scale factor 2(8) C - Reflexion in the X-axis followed by reflexion in the Y-axis(9) D – Stretch with scale factor 2(10) C – translation the first graph*****************************************************If you would like to get extra tuition on this topic , you can contact me at :georgeignatius9 [ Skype ]georgeignatiusxx@gmail.com [Google talk]gntsgeorge@yahoo.co.in [ Y/messenger]TUITION FEE : 8 US dollars per hour. (payable to my Pay Pal account) Call: +914812790195 [For instant help in maths problems]********************************************************