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Triangles
EXERCISE 6.3
CBSE_NCERT_TEXTBOOK
Grade 10

Question:

Two figures having the same shape but not necessarily the same size are called similar figures.

Step-by-Step Solution

Key Concept: Understanding the definition of similarity between geometric figures.
1. Identify the two given figures.\
2. Check whether the figures have the same shape. This means that all corresponding angles are equal and the ratios of corresponding sides are constant.\
3. Verify that the sizes of the figures need not be equal; i.e., the figures may be scaled versions of each other.\
4. Conclude that when the above conditions are satisfied, the figures are *similar*.

Hence, the statement "Two figures having the same shape but not necessarily the same size are called similar figures" is the definition of similar figures.

Correct Answer: Similar figures are those that have the same shape but may differ in size; i.e., corresponding angles are equal and corresponding sides are in proportion.
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