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# Enlargement

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### Enlargement

1. 1. October 4, 2012 Enlargemen t1. Enlargement. Next
2. 2. Explanation October 4, 2012Look at this ZebraHere is another.It is exactly the sameshape, but twice the size.In fact, the bigger zebra is an enlargement of the smallerpicture.It has been enlarged by a scale factor of 2. More Next
3. 3. Explanation October 4, 2012Here are two polygons, one an1cm square paper. other. is a polygon drawn onto enlargement of theone twodown, down,onethree six twoalong alongIf you make a 2 times enlargement, that is to say enlargeit by a scale factor of 2 it looks like this.You can see that each side is twice the length bycounting the squares form one end to the other. More Next
4. 4. Explanation October 4, 2012Here are two polygons, one an enlargement of the other.Place them on a Cartesian plane. More
5. 5. Explanation October 4, 2012Here are two polygons, one an enlargement of the other.Place them on a Cartesian plane. 8 7 6 Notice that you 5 4 can join up points 3 in the same place 2 on each shape. 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12Extend the lines beyond the smaller polygon.They meet at point (0,0), also known as the origin.(0,0) is therefore the centre of enlargement. More
6. 6. Explanation October 4, 2012 8 7 6 5 4 3 2This is the length from the centre of enlargement to a 1 0point on the original. 5 6 7 8 9 10 11 12 0 1 2 3 4It is twice this length from the centre of enlargement tothe corresponding point on the enlarged polygon.This is the case for all corresponding points. More
7. 7. Explanation October 4, 2012 8 7 6 Here, the scale 5 4 factor is 2. 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12As the centre of enlargement is at the origin, (0,0), eachcoordinate point on the original can be multiplied by thescale factor to find the corresponding point on theenlargement.The scale factor(3,2) × 2 becomes (12,6) (3,3) (6,3) (5,2) is sometimes called(6,6) (10,4) (6,4) k. More
8. 8. Explanation October 4, 2012 8 The centre of 7 6 enlargement 5 can be inside 4 A the original 3 2 shape. 1 0 2 lengths 1 length 3 0 1 2 3 4 5 6 7 8 9 10 11 12“Enlarge this shape by scale factor 3, centre the point A.”Measure one length from A to a point on the polygon.Another equal length makes 2.A third equal length takes you to where thecorresponding point will be on the enlargement. More
9. 9. Explanation October 4, 2012When you describe an enlargement, you must give the 8scale factor and the centre of enlargement. 7 6An enlargement is a type of transformation. 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 More
10. 10. Explanation October 4, 2012When you describe an enlargement, you must give thescale factor and the centre of enlargement.An enlargement is a type of transformation. 8 7 “Describe the 6 D transformation that 5 maps shape C 4 C onto shape D” 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12Join three sets of corresponding points.“An enlargement by scale factor 3, centre the point (5,2).” More Next End