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Enlargement

Enlargement. Objectives:. C Grade Enlarge a shape by a fractional scale factor Compare the area of an enlarged shape with the original shape Find the centre of enlargement. B Grade Distinguish between formulae for perimeter, area and volume by considering dimensions.

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Enlargement

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  1. Enlargement Objectives: C Grade Enlarge a shape by a fractional scale factor Compare the area of an enlarged shape with the original shape Find the centre of enlargement B Grade Distinguish between formulae for perimeter, area and volume by considering dimensions A Grade Compare areas and volumes of enlarged shapes Enlarge a shape by a negative scale factor Prior knowledge: Enlarge an object by a positive integer scale factor using a centre of enlargement and ray lines.

  2. Enlargement Enlargement is not just for making an object bigger using the scale factor Objects can be enlarged using any number as a scale factor including fractions and negative numbers. Using a scale factor ½ the distance from the CoE to the image vertices is ½ times the distance from the CoE to the object vertices. 10 squares right 2 squares down CoE Scale Factor ½ Distance from CoE 5 squares right 1 square down x x 4 squares right 2 squares down object x 4 squares right 6 squares down Scale Factor ½ Distance from CoE 2 squares right 1 square down Scale Factor ½ Distance from CoE 2 squares right 3 squares down This gives us enough information to draw the image

  3. Enlargement Negative scale factors can also be used A negative scale factor takes the image the opposite side of the centre of enlargement Enlarge the object by a scale factor of -2 5 4 3 2 1 -1 - 2 - 3 - 4 - 5 CoE -8 -7 -6 -5 -4 -3 -2 - 1 0 1 2 3 4 5 6 7 8 9

  4. Enlargement Enlarge the object by a scale factor of -3 Notice how the image is upside down from the object 5 4 3 2 1 -1 - 2 - 3 - 4 - 5 -8 -7 -6 -5 -4 -3 -2 - 1 0 1 2 3 4 5 6 7 8 9 CoE

  5. Enlargement In each case object A has been enlarged to image B Find the scale factor and centre of enlargement for A A B B A B Scale Factor ½ Scale Factor -1 B A

  6. Worksheet 3 Enlargement In each case object A has been enlarged to image B Find the scale factor and centre of enlargement for B A A A B B B A

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