MATHS TESTONGEOMETRRIC TRANSFORMATIONS by Ignatius George : MATHS TESTONGEOMETRRIC TRANSFORMATIONS by Ignatius George
ABOUT THIS TEST : 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
HOW TO ATTEMPT THIS TEST? : HOW TO ATTEMPT THIS TEST? Switch off your head set and work out all problems first.
Correct your answers using the answering key given on the last slide.
Switch on the audio system and listen to the narration given for the solution for each question
Qn 1 Point A (5 , -2) is transformed to point A’ (-5 , 2). The above transformation can be described as ………………… : Qn 1 Point A (5 , -2) is transformed to point 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
Qn 2 A ( -2 , 1) is transformed to A’ under translation, using column vector, . The coordinates of the image, A’ under this transformation are ………………………. : 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)
Qn 3 A transformation is defined as f(x , y) = (3x , 3y).The above transformation is …………………….. : Qn 3 A transformation is defined as f(x , y) = (3x , 3y).The above transformation is …………………….. [A] Reflection
[B] Rotation
[C] Translation
[D] Enlargement
Qn 4 Consider the following transformation: ( 2 , 3 ) ( -2 , 3)Which of the following describes the above transformation ? : 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
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 ………… : 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)
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 ……………………….. : 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)
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 ………………….. : 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
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 ? : 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
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 ? : 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
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 --------------------- : 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
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ANSWERS : Qn 1 C
Qn 2 A
Qn 3 D
Qn 4 B
Qn 5 A Qn 6 A
Qn 7 A
Qn 8 C
Qn 9 D
Qn 10 C ANSWERS