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Topic: Reflections, Rotations, Translations and Enlargements; Congruence and Similarity (Higher - Unit 3)

Specification References: G3.2h G3.2h Understand the effect of enlargement for perimeter, area and volume of shapes and solids. Use the effect of enlargement for perimeter, area and volume in calculations.

Candidates should be able to:

• understand the effect of enlargement on perimeter 
• understand the effect of enlargement on areas of shapes
• understand the effect of enlargement on volumes of shapes and solids
• compare the areas or volumes of similar shapes 
• use the effect of enlargement for perimeter, area and volume in calculations.

Notes

Questions may be set which ask, for example, how many times bigger is the area of shape A than shape B?

Candidates will be expected to know the connection between the linear, area and volume scale factors of similar shapes and solids. Questions may be asked that exploit the relationship between weight and volume, area and cost of paint, etc.

Scales will be given as, for example, 1cm represents 1km, or 1 : 100.

Examples

1. These boxes are similar.
   
   
   What is the ratio of the volume of box A to box B?

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