Enlargement (or dilation) changes the size of a shape while keeping its shape the same.
Important terms:
- Centre of enlargement – fixed point
- Scale factor – multiplier
- 1 enlarges
- 0–1 reduces
- negative values flip the image
Worked Example 1
Enlarge point A(2,3) by scale factor 2, centre at (0,0):
New point: (4,6)
Worked Example 2
Enlarge triangle with vertices
A(-4,-2), B(-3,-5), C(-5,-5)
by scale factor 3, centre (-6,-5):
New coordinates:
P(4, 0)
Q(3, -5)
R(-3, -5)
