AC9M9SP02
apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change
Elaborations
- AC9M9SP02_E1comparing the ratio of lengths of corresponding sides of similar triangles and angles
- AC9M9SP02_E2using the properties of similarity to solve problems involving enlargement
- AC9M9SP02_E3investigating and generalising patterns in length, angle, area and volume when side lengths of shapes and objects are enlarged or dilated by whole and rational numbers; for example, comparing an enlargement of a square and a cube of side length 2 units by a factor of 3 increases the area of the square, 2^2, to (3×2)^2 = 9×2^2=9 times the original area and the volume of the cube, 2^3, to (3×2)^3=27×2^3=27 times the volume
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