Episode 8 — Euclidean Geometry

Similarity

Learners will be able to:

• Describe the properties of similar shapes, including equal corresponding angles and sides in proportion. • Identify the symbol used to indicate similarity between two shapes. • Explain how equi-angular triangles are similar using a specific theorem. • Apply the concept of similarity to prove that two triangles are similar by showing they are equi-angular or have corresponding sides in proportion. • Use ratios of sides to determine the length of a side in a similar triangle. • Prove that triangles with corresponding sides in proportion are similar.