The document is a mathematics test focusing on geometric transformations, featuring 10 multiple choice questions related to various levels of education including IGCSE and A-levels. It provides a method for self-assessment and includes contact information for the author, who offers online tutoring. Answers and explanations are provided through audio narration, with additional guidance on how to attempt the test.

1. MATHS TESTONGEOMETRRIC TRANSFORMATIONSby Ignatius George

2. ABOUT THIS TESTFeaturesConsists of 10 multiple choice questionsCovers all basic transformationsRelevant to IGCSE ,GCSE , C1 , K-12 & A- Level syllabusesGood for self assessmentCreated by a qualified and experienced mathematics teacherAnswers & explanations are provided through audio narrationHow to contact the authorgntsgeorge@yahoo.co.ingeorgeignatiusxx@gmail.comgeorgeignatius9 (Skype)http://www.wiziq.com/ignTel: +919497819889

3. HOW TO ATTEMPT THIS TEST?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 questionQn 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

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

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