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- 1. MATHS TESTONGEOMETRRIC TRANSFORMATIONSby Ignatius George<br />
- 2. ABOUT THIS TEST<br />Features<br />Consists of 10 multiple choice questions<br />Covers all basic transformations<br />Relevant to IGCSE ,GCSE , C1 , K-12 & A- Level syllabuses<br />Good for self assessment<br />Created by a qualified and experienced mathematics teacher<br />Answers & explanations are provided through audio narration<br />How to contact the author<br />gntsgeorge@yahoo.co.in<br />georgeignatiusxx@gmail.com<br />georgeignatius9 (Skype)<br />http://www.wiziq.com/ign<br />Tel: +919497819889<br />
- 3. HOW TO ATTEMPT THIS TEST?<br /><ul><li>Switch off your head set and work out all problems first.
- 4. Correct your answers using the answering key given on the last slide.
- 5. Switch on the audio system and listen to the narration given for the solution for each question</li></li></ul><li>Qn 1 Point A(5 , -2) is transformed to point A’ (-5 , 2). The above transformation can be described as …………………<br />[A] rotation through 900,about the origin , anticlockwise direction<br />[B] rotation through 900 about the origin, clockwise direction.<br />[C] rotation through 1800 about the origin<br />[D] reflexion in the y-axis<br />
- 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 ……………………….<br />[A] (1 , 3) <br />[B] (-6 , 2) <br />[C] (6 , 2) <br />[D] (-5 , -1)<br />
- 7. Qn 3 A transformation is defined as f(x , y) = (3x , 3y).The above transformation is ……………………..<br />[A]Reflection<br />[B]Rotation<br />[C] Translation <br />[D] Enlargement<br />
- 8. Qn 4 Consider the following transformation:( 2 , 3 ) ( -2 , 3)Which of the following describes the above transformation ?<br />[A] reflexion in the x-axis<br />[B] reflexion in the Y-axis<br />[C] rotation through 900 about the origin, clockwise<br />[D]rotation through 900 about the origin, in the<br /> anticlockwise direction<br />
- 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 …………<br />[A] (2 , 3)<br />[B] (3 , -2)<br />[C] (-3 , -2)<br />[D] (-2 , 3)<br />
- 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 ………………………..<br />[A] (5 , - 4) <br />[B] (10, - 2) <br />[C] (10 , -4) <br />[D] (-10 , -4)<br />
- 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 …………………..<br />[A] 2<br />[B] 3 <br />[C] 4 <br />[D] 5<br />
- 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 ?<br />[A] rotation through 900 clockwise about the origin followed by reflection in the Y-axis<br />[B] rotation through 900 anticlockwise about the origin and reflection in the Y-axis<br />[C] reflection in the X-axis followed by reflection in the y-axis<br />[D] None of the above<br />
- 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 ?<br />[A] reflection in the y-axis<br />[B] translation by using column vector <br />[C] Rotation through 900, about the origin , anticlockwise<br />[D] Stretch with scale factor 2<br />
- 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 ---------------------<br />[A] a reflection of the first graph<br />[B] a rotation of the first graph.<br />[C] a translation of the first graph<br />[D] a stretch of the first graph<br />
- 15. I am an online tutor in mathematics. If you need any kind of maths help or a private online tutor , you can contact me without any hesitation.<br />ABOUT FEES <br /><ul><li>Just 8 Us Dollars per hour
- 16. Payable to my Pay Pal Account
- 17. Instant attention once the payment is confirmed</li></li></ul><li>Qn 1 C<br />Qn 2 A<br />Qn 3 D<br />Qn 4 B<br />Qn 5 A<br />Qn 6 A<br />Qn 7 A<br />Qn 8 C<br />Qn 9 D<br />Qn 10 C<br />ANSWERS<br />

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