Grade 10 · Geometry · 77 pages · PDF

Similarity and Congruence

Clear, exam-focused notes on congruent and similar shapes, congruence proofs, and length, area and volume scale factors, with fully worked examples.

A complete 17-page IGCSE guide to similarity and congruence. It covers congruent shapes and the four congruence conditions for triangles (SSS, SAS, ASA and RHS), with step-by-step congruence proofs. It then explains similar shapes and the conditions for similar triangles. Worked examples include parallel lines inside a triangle, the right-angled triangle with a perpendicular, and shadow problems. The final section teaches the link between length, area and volume scale factors, including working backwards and finding mass. Every method comes with clear diagrams and fully worked examples. It ends with a summary, a keyword guide and exam tips.

What's in the pack

Every item can be bought on its own. Buy several together and the price drops.

• Main Notes · 18 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

  Read the first 4 pages
  €9.99Add

• Worksheet · 32 pages

  Worksheet

  Practice questions in the order the notes teach them.

  Read the first 4 pages
  €11.99Add

• Cheatsheet · 2 pages

  Cheatsheet

  The whole topic on a page or two, for the night before.

  Read the first 2 pages
  FreeAdd for free

• Solutions · 25 pages

  Solutions

  Every worksheet question worked in full.

  Read the first 4 pages
  €9.99Add

Topics covered

• Congruent shapes
• Corresponding sides and angles
• Congruence conditions: SSS, SAS, ASA and RHS
• Writing congruence proofs
• Similar shapes and scale factors
• Conditions for similar triangles
• Similar triangles with parallel lines
• Finding missing lengths in similar triangles
• Area scale factors
• Volume scale factors
• Working backwards from area or volume
• Real-world similarity problems

Format

Print-ready PDF

Items

4

Delivery

By email