Q1. [1] § 6.2 Similar Figures
Which of the following statements is false ?
- A Two right triangles are always similar.
- B Two squares are always similar.
- C Two equilateral triangles are always similar.
- D Two circles are always similar.
Previously asked in CBSE board exam
2025 30/5/1 Q8; 2025 30/5/1 Q10 — asked 2×
Generated by claude-sonnet-4-6 · 2026-06-15 10:36 · grounding rag
Model Answer
Option A — Two right triangles are always similar is false.
Right triangles have one angle = 90°, but the other angles can differ, so they need not be similar.
Explanation
- Two figures are similar if all corresponding angles are equal and sides are proportional.
- Right triangles share one 90° angle, but the remaining two angles can vary (e.g., 30°-60°-90° vs. 45°-45°-90°), so similarity is not guaranteed.
- Squares, equilateral triangles, and circles are always similar because their shapes are fixed regardless of size.
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