Enlargements - Strand 2
- 2. Transformation is when a shapes size or position is changed or transformed. the original shape is the OBJECT. the changed shape is the transformation.
- 3. Picture
- 4. Point
- 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. 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.
- 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. The Scale Factor Is denoted by the Lets see it in action! letter k in the new course. It is the number by which the object is fun enlargements enlarged. http://www.ng鍖-cymru.org.uk/vtc/ng鍖/maths/echalk/enlargement/intro/enlargementIntro.html
- 10. In Action http://www.ng鍖-cymru.org.uk/vtc/ng鍖/maths/ echalk/enlargement/intro/enlargementIntro.html
- 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. Enlarging - Grid
- 13. Enlarging - Grid Step 1
- 14. Enlarging - Grid Step 1
- 15. Enlarging - Grid Step 1 Step 2
- 16. Enlarging - Grid Step 1 Step 2
- 17. Enlarging - Grid Step 1 Step 2 Step 3
- 18. Enlarging - Grid Step 1 Step 2 Step 3
- 19. Ray Method Video
- 20. Very Useful
- 23. Very Useful Step 1 Step 2
- 24. Very Useful Step 1 Step 2
- 26. Step 3
- 27. Step 3
- 28. Step 3 Step 4
- 29. Step 3 Step 4
- 30. Step 3 Step 4 In this example the scale factor is 3 thats why every length is being multiplied by 3!
- 32. Step 5
- 33. Step 5
- 34. 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
- 35. To Find the Centre of the Enlargement
- 36. 1. Choose two points on the image and their corresponding points on the original 鍖gure. 2. From each of these points on the larger 鍖gure, draw a line to the corresponding point on the smaller 鍖gure. 3. Produce these lines until they intersect at the point is the centre of the enlargement.
- 38. What is an enlargement?