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TransformationsIB MYP Maths Extended: Flashcards

What these 14 flashcards ask

  • Object and image?
  • Which transformations give a congruent image?
  • Translate (1,4) by 3 right and 2 down.
  • What do you need to describe a reflection?
  • Reflection of (x,y) in the x-axis?
  • Reflection of (x,y) in the line y=x?
  • Reflect (1,1) in the line x=5.
  • What three details describe a rotation?
  • 90^\circ anticlockwise about the origin: (x,y)\to?
  • 180^\circ about the origin: (x,y)\to?
  • What two details describe an enlargement?
  • Enlarge (3,2) with scale factor 3, centre the origin.
  • How do you find a centre of rotation?
  • Where is the centre of a 180^\circ rotation?

Exam questions on Transformations

  1. Triangle TT has vertices A(1,1)A(1,1), B(4,1)B(4,1) and C(4,3)C(4,3) on a coordinate grid.
    TT is reflected in the xx-axis to give triangle T1T_1. Find the coordinates of the vertices of T1T_1.2 marks
  2. The point M(3,2)M(3,2) is plotted on a coordinate grid. The origin is OO.
    MM is rotated 180∘180^\circ about the point (1,1)(1,1). Find the coordinates of the image of MM.2 marks
  3. Triangle AA has vertices (1,1)(1,1), (3,1)(3,1) and (3,2)(3,2) on a coordinate grid.
    Triangle BB is the image of AA after an enlargement with scale factor 33 and centre (0,0)(0,0). Find the coordinates of the vertices of BB.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).