Exploring the World of Geometry: The Intricacies of Similarity
- Their corresponding angles are congruent.
- Their corresponding sides are proportional.
Worked examples: similarity in geometry
- Two triangles (EFG) and (LMN) have sides in the ratio (3:4). If (angle E = angle L) and (angle F = angle M), are the two triangles similar?
- Squares (UVWX) and (QRST) have side lengths in the ratio (5:7). Are the two squares similar?
Answers:
- Yes, the triangles are similar.
- Yes, the squares are similar.
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