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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?