AC9M9SP02Year 9SpacePractised on site

AC9M9SP02 — Year 9 Space

Official Curriculum Content Description:

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

Worked Examples (1)

Example 1Linear Scale Factors in Similar Shapes
Point A(−12,−12)A(-12, -12) is enlarged about the origin (0,0)(0,0) by scale factor k=−12k = \frac{-1}{2}. Find the coordinates of image point A′A'.
Common mistake: Forgetting that a negative scale factor reverses direction through the centre.
Correct Answer:(6,6)(6, 6)
Worked Solution:
1. Multiply coordinates by scale factor k=−12k = \frac{-1}{2}: A′=(−12×−12,−12×−12)=(6,6)A' = (-12 \times \frac{-1}{2}, -12 \times \frac{-1}{2}) = (6, 6).

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