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Enlargements2.4 Transformation Geometry
Transformation• is when a shape’s size or position is  changed or transformed.• the original shape is the OBJECT.• the cha...
Picture
Point
We learn              about          enlargements!An enlargement changes the SIZE and the POSITION                   of a ...
• When a shape is enlarged, ALL lengths  are multiplied by the scale factor and all  angles remain UNCHANGED.• An an examp...
Slide ProjectorDesign
Better?• In this case, the  light bulb is the  centre of  enlargement!• C. of E. is the point  from which the E. is  const...
The Scale Factor• Is denoted by the                                                              Let’s see it in action!  ...
In Action http://www.ngfl-cymru.org.uk/vtc/ngfl/maths/echalk/enlargement/intro/enlargementIntro.html
• Important to note that while  enlargements normally enlarge shapes  you can also decrease, reduce or make  shapes smalle...
Enlarging - Grid
Enlarging - GridStep 1
Enlarging - GridStep 1
Enlarging - GridStep 1       Step 2
Enlarging - GridStep 1       Step 2
Enlarging - GridStep 1       Step 2   Step 3
Enlarging - GridStep 1       Step 2   Step 3
Ray Method   Video
Very Useful
Very UsefulStep 1
Very UsefulStep 1
Very UsefulStep 1Step 2
Very UsefulStep 1Step 2
Step 3
Step 3
Step 3   Step 4
Step 3   Step 4
Step 3                     Step 4In this example the scale factor is 3 that’s why     every length is being multiplied by 3!
Step 5
Step 5
Properties of enlargements  • Shape of image is the same only size    has changed.  • Angle measures remain the same.  • I...
To Find the Centre of the      Enlargement
• 1. Choose two points on the image and  their corresponding points on the  original figure.• 2. From each of these points ...
What is an enlargement?
Enlargements - Strand 2
Enlargements - Strand 2
Enlargements - Strand 2
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Enlargements - Strand 2

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Enlargements - Strand 2

  1. 1. Enlargements2.4 Transformation Geometry
  2. 2. Transformation• is when a shape’s size or position is changed or transformed.• the original shape is the OBJECT.• the changed shape is the transformation.
  3. 3. Picture
  4. 4. Point
  5. 5. We learn about enlargements!An enlargement changes the SIZE and the POSITION of a shape! To enlarge a shape we need TWO things! 1. A centre or enlargement 2. A scale factor
  6. 6. • When a shape is enlarged, ALL lengths are multiplied by the scale factor and all angles remain UNCHANGED.• An an example of use is a slide projector.
  7. 7. Slide ProjectorDesign
  8. 8. Better?• In this case, the light bulb is the centre of enlargement!• C. of E. is the point from which the E. is constructed.
  9. 9. The Scale Factor• Is denoted by the Let’s see it in action! letter ‘k’ in the new course.• It is the number by which the object is fun enlargements enlarged. http://www.ngfl-cymru.org.uk/vtc/ngfl/maths/echalk/enlargement/intro/enlargementIntro.html
  10. 10. In Action http://www.ngfl-cymru.org.uk/vtc/ngfl/maths/echalk/enlargement/intro/enlargementIntro.html
  11. 11. • Important to note that while enlargements normally enlarge shapes you can also decrease, reduce or make shapes smaller.• For example if k = 1/2 then your shape would be half the original size!
  12. 12. Enlarging - Grid
  13. 13. Enlarging - GridStep 1
  14. 14. Enlarging - GridStep 1
  15. 15. Enlarging - GridStep 1 Step 2
  16. 16. Enlarging - GridStep 1 Step 2
  17. 17. Enlarging - GridStep 1 Step 2 Step 3
  18. 18. Enlarging - GridStep 1 Step 2 Step 3
  19. 19. Ray Method Video
  20. 20. Very Useful
  21. 21. Very UsefulStep 1
  22. 22. Very UsefulStep 1
  23. 23. Very UsefulStep 1Step 2
  24. 24. Very UsefulStep 1Step 2
  25. 25. Step 3
  26. 26. Step 3
  27. 27. Step 3 Step 4
  28. 28. Step 3 Step 4
  29. 29. Step 3 Step 4In this example the scale factor is 3 that’s why every length is being multiplied by 3!
  30. 30. Step 5
  31. 31. Step 5
  32. 32. Properties of enlargements • Shape of image is the same only size has changed. • Angle measures remain the same. • Image length = k (object length) OR • k = Image length/Object length • Area of Image = k^2 (area object) OR • k^2 = Area of Image/Area of object
  33. 33. To Find the Centre of the Enlargement
  34. 34. • 1. Choose two points on the image and their corresponding points on the original figure.• 2. From each of these points on the larger figure, draw a line to the corresponding point on the smaller figure.• 3. Produce these lines until they intersect at the point is the centre of the enlargement.
  35. 35. What is an enlargement?

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