Exploring the World of Geometry: The Intricacies of Similarity

• Their corresponding angles are congruent.
• Their corresponding sides are proportional.

Worked examples: similarity in geometry

1. 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?
2. Squares (UVWX) and (QRST) have side lengths in the ratio (5:7). Are the two squares similar?

Answers:

1. Yes, the triangles are similar.
2. Yes, the squares are similar.

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