Shape 8 summary

Key learning points

• Name circle theorems when chasing angles.
• Use sine/cosine rules when there is no right angle.
• Combine algebra with geometry in coordinate proofs.
• End with a clear statement of the required result.

Worked example 1 — Circle theorem

Angle at centre vs circumference on the same arc?

Working

Quote the theorem in your reasons.

Worked example 2 — Name circle theorems when chasing angles

Use this method from the Shape 8 sheet: Name circle theorems when chasing angles.

Working

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

Worked example 3 — Use sine/cosine rules when there is no right angle

Use this method from the Shape 8 sheet: Use sine/cosine rules when there is no right angle.

Working

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

Worked example 4 — Combine algebra with geometry in coordinate proofs

Use this method from the Shape 8 sheet: Combine algebra with geometry in coordinate proofs.

Working

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

Worked example 5 — End with a clear statement of the required result

Use this method from the Shape 8 sheet: End with a clear statement of the required result.

Working

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.