Transformations

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Transformations

  1. 1. MATHS geometryTransformations By Ginny Ruadh (P7)
  2. 2. Transformations Transformations = same shape, same size and same measurements BUT different position. Moving or changing shapes using strict rules. 1. Reflection, 2. Translation, 3. Rotation After any of those transformations (turn, flip or slide),the shape still has the same size, area, angles and line lengths.
  3. 3. 1. REFLECTION Mirror line = FLIP Object vs image Object Image Object ImageThe reflection of a point is the same distance from the mirror line, measured at 90% (right angels) to the line. Your image can be double checked by folding your paper along the mirror line. The mirror line can be vertical, horizontal of diagonal. *It’s the same as flip horizontal on Powerpoint – if mirror line is horizontal
  4. 4. Vertical mirror line Object Image
  5. 5. Horizontal mirror line Object Image
  6. 6. Vertical mirror line t ec bj O e ag Im
  7. 7. 2. TRANSLATIONTranslation = Sliding a shape around. Slide = up/down + left/right (NOT turning or flipping!)
  8. 8. Move 3 squared to the right and 5 squares down 3 blocks right 1 2 3 2 3 4 5 X 5 blocks downOn squared paper - mark each new corner point by working out their new positions. Then join corners together
  9. 9. 3. ROTATION Rotation = TURN Anti clockwise Turn = moving around a point (centre of rotation) Clockwise Move = clcokwise / anti clockwise Amount of turn = degrees/fraction (90 degrees or ¼) Object Rotated 90° clockwise Rotated 270° clockwise Rotated 180° clockwiseThe distance from the centre Every point to any point on the shape makes a circle stays the same. around the center. *Tracing paper will be your best friend for rotating objects.
  10. 10. 3. ROTATIONAnti clockwise Clockwise Object Rotated 90° clockwise Rotated 270° clockwise Rotated 180° clockwise *Tracing paper will be your best friend for rotating objects.
  11. 11. 3. ROTATIONAnti clockwise Clockwise Object Rotated 90° clockwise Rotated 270° clockwise Rotated 180° clockwise *Tracing paper will be your best friend for rotating objects.
  12. 12. Rotating with tracing paper +Trace the object, the centre (+) and the pointer (90 °/ ¼ of a rotation)Place a pencil on the centre (pinning both pages together) and rotate the tracing paper 90° clockwise
  13. 13. Rotating with tracing paper +Mark the corners of the image (Leaving pressure points on original page beneath the tracing paper)Remove the tracing paper and join the corners.
  14. 14. References1. http://www.mathsisfun.com2. Key Stage 2 – The Essentials of Maths (SRG)

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