Course Content
Transformation
This course introduces learners to geometric transformations and how shapes move or change on the coordinate plane. Students will explore the four main types of transformations—translation, reflection, rotation, and enlargement—learning how each affects the position, orientation, and size of shapes. Through clear explanations, guided examples, and practice activities, learners will develop the skills to identify, perform, and describe transformations confidently. This course builds spatial reasoning and prepares students for more advanced geometric concepts.
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Transformation

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)