Section 9 - Geometry Transformations

Translate, reflect, rotate, and enlarge shapes before combining transformations to prove congruency.

Chapters 12

Translations, reflections, rotations, enlargements.

Time invested 9 hrs

Approximate guided learning.

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Start with Chapter 9.1 to begin this section.

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Transformations mark themselves complete when you finish the exercises.

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Chapter 9.1

Translations on a grid

Shift shapes across grids using count-based moves.

35 min Start
Chapter 9.2

Translations using vectors

Use vector notation to describe translations precisely.

40 min Start
Chapter 9.3

Reflections in x or y axes

Flip shapes in major axes and describe the mirror lines.

35 min Start
Chapter 9.4

Reflections in other lines

Reflect across diagonals like y = x or custom mirror lines.

40 min Start
Chapter 9.5

Rotation around a point

Rotate shapes clockwise/counterclockwise about origins.

40 min Start
Chapter 9.6

Rotations using coordinates

Apply coordinate rules for 90°, 180°, and 270° rotations.

40 min Start
Chapter 9.7

Enlargements with positive scale factors

Scale shapes from a centre using whole-number factors.

40 min Start
Chapter 9.8

Finding the centre of enlargement

Trace rays back to locate the exact enlargement centre.

35 min Start
Chapter 9.9

Negative scale factors

Enlarge with reflections by using negative factors.

45 min Start
Chapter 9.10

Congruent shapes

Prove shapes are congruent using transformation language.

35 min Start
Chapter 9.11

Similar shapes

Connect enlargements to similarity proofs and ratios.

40 min Start
Chapter 9.12

Combined transformations

Sequence multiple moves and describe the overall mapping.

45 min Start

Next steps

Need more geometry fluency? Revisit Section 8’s angle work, or move on to Year 8 Statistics & Probability after finishing these transformations.