| --- |
| source: ncert_exercises |
| topic: geometry |
| class_level: class_10 |
| chapter: ch6 |
| exercise: ex6.1 |
| difficulty: beginner |
| --- |
| |
| Class 10 | Ch6: Triangles | Exercise 6.1 |
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| Key Concepts: |
| - Similar figures: same shape, not necessarily same size. |
| - All congruent figures are similar, but not vice versa. |
| - Equilateral triangles are always similar. Squares with same side length are congruent. |
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| Q1. Fill in the blanks using correct word: similar/congruent. |
| (i) All circles are ___. (ii) All squares are ___. (iii) All equilateral triangles are ___. |
| (iv) Two triangles are similar if their corresponding angles are ___ and corresponding sides are ___. |
| Answer: |
| (i) similar. ✅ |
| (ii) similar. ✅ |
| (iii) similar. ✅ |
| (iv) equal; proportional. ✅ |
| |
| Q2. Give two different examples of pair of: (i) similar figures (ii) non-similar figures. |
| Answer: |
| (i) Similar: Two circles of different radii; Two squares of different sizes. ✅ |
| (ii) Non-similar: A triangle and a quadrilateral; A circle and a square. ✅ |
| |
| Q3. State whether the following are true or false. Explain. |
| (i) Two quadrilaterals of the same number of sides are similar. |
| (ii) Two polygons of same number of sides are similar if their corresponding angles are equal and corresponding sides are equal. |
| Answer: |
| (i) FALSE. Quadrilateral shape matters — a square and a rectangle both have 4 sides but are not similar. ✅ |
| (ii) TRUE. This is the definition of similar polygons. ✅ |
