3. Geometry — (a) Similarity
Similarity, conditions of similar triangles.
(i) As a size transformation.
(ii) Comparison with congruency, keyword being proportionality.
(iii) Three conditions: SSS, SAS, AA. Simple applications (proof not included).
(iv) Applications of Basic Proportionality Theorem.
(v) Areas of similar triangles are proportional to the squares of corresponding sides.
(vi) Direct applications based on the above including applications to maps and models.