Learning pack · Foundation · CIE Core

Symmetry and Transformations

What's in this pack: printable worksheet PDF, matching answers PDF (Foundation · CIE Core depth). Line and rotational symmetry describe balance in shapes; linking them to reflections and rotations deepens transformation fluency.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

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Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 📖 Full summary

Files: foundation-13 Symmetry and Transformations handout.pdf · foundation-13 Symmetry and Transformations handout answers.pdf

Full topic summary

Line and rotational symmetry describe balance in shapes; linking them to reflections and rotations deepens transformation fluency.

Key learning points

Line symmetry: mirror lines that map the shape to itself.
Order of rotational symmetry: how many times it fits in a $360^\circ$ turn.
Regular polygons have equal numbers of lines of symmetry and rotational order.

Worked example 1 — Reflection

Reflect $(2,3)$ in the $y$ -axis.

Working

(-2,3)

Negate $x$ .

Worked example 2 — Rotation

Rotate $(1,0)$ by $90^\circ$ anticlockwise about O.

Working

(0,1)

$(x,y)\to(-y,x)$ .

Worked example 3 — Rotational order

Order of rotational symmetry of a regular pentagon?

Working

5

Every $72^\circ$ .

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