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2. ABOUT THIS TEST Features Consists of 10 multiple choice questions Covers all basic transformations Relevant to IGCSE ,GCSE , C1 , K-12 & A- Level syllabuses Good for self assessment Created by a qualified and experienced mathematics teacher Answers & explanations are provided through audio narration How to contact the author gntsgeorge@yahoo.co.in georgeignatiusxx@gmail.com georgeignatius9 (Skype) http://www.wiziq.com/ign Tel: +919497819889
6. Qn 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)
7. Qn 3 A transformation is defined as f(x , y) = (3x , 3y).The above transformation is …………………….. [A]Reflection [B]Rotation [C] Translation [D] Enlargement
8. Qn 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, in the anticlockwise direction
9. Qn 5 Point (-3 , 2) is rotated through 900 in the clockwise direction about the origin . The coordinates of the image under this transformation are ………… [A] (2 , 3) [B] (3 , -2) [C] (-3 , -2) [D] (-2 , 3)
10. Qn 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)
11. Qn 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
12. Qn 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
13. Qn 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
14. Qn 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 graph