PracticeQuestionsYears 1–7
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Polygons, symmetry and perimeter

Year 4 · Lower Key Stage 2 · 4G-1 to 4G-3 — Polygons and their sides; regular polygons; lines of symmetry; perimeter

Draft — awaiting teacher review

Builds on: Right angles, lines and perimeter (Year 3)

I

Concept Anchor

A polygon is a flat shape with straight sides. It is regular if all its sides and all its angles are equal. To find the perimeter of a regular polygon, multiply one side by the number of sides.

Worked example

Perimeter of a regular pentagon with sides of 4 cm.

  1. 1.A pentagon has 5 sides.
  2. 2.They are all 4 cm.
  3. 3.5 × 4 = 20.
  4. 4.The perimeter is 20 cm.
II

Guided Check

How many lines of symmetry does a rectangle (not a square) have?

    III

    Independent Diagnostic Practice

    Q1Year 44G-2 — Lines of symmetry·Fluency·●○○Draft — awaiting teacher review

    How many lines of symmetry does a square have?

    Q2Year 44G-2 — Regular polygons·Reasoning·●●○Draft — awaiting teacher review

    Which shape is a regular polygon?

    Q3Year 44G-3 — Perimeter of a regular polygon·Problem Solving·●●●Draft — awaiting teacher review

    A regular hexagon has sides of 5 cm. What is its perimeter?