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Topic summary · Student revision

Shape 7 summary

Shape 7 revision mixes constructions, loci and introductory vectors — diagram quality matters.

Files: Shape 7.pdf · Shape 7 solutions.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Leave construction arcs visible.
  • Column vectors encode translations.
  • Equidistant loci become bisectors or circles.
  • Label diagrams clearly for method marks.

Worked example 1 — Locus

Locus of points equidistant from A and B?

Working

perpendicular bisector of AB\text{perpendicular bisector of }AB

A classic construction locus.

Worked example 2 — Leave construction arcs visible

Use this method from the Shape 7 sheet: Leave construction arcs visible.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Column vectors encode translations

Use this method from the Shape 7 sheet: Column vectors encode translations.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Equidistant loci become bisectors or circles

Use this method from the Shape 7 sheet: Equidistant loci become bisectors or circles.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Label diagrams clearly for method marks

Use this method from the Shape 7 sheet: Label diagrams clearly for method marks.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.