Exploring the World of Geometry: The Intricacies of Similarity
- Their corresponding angles are congruent.
- Their corresponding sides are proportional.
Examples
- 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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