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Two polygons of the same number of sides are similar, if (a) their corresponding angles are ______ and (b) their corresponding sides are ______. (equal, proportional)

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Question

Two polygons of the same number of sides are similar, if (a) their corresponding angles are ______ and (b) their corresponding sides are ______. (equal, proportional)

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Solution

Two polygons of the same number of sides are similar, if (a) their corresponding angles are equal and (b) their corresponding sides are proportional.

Explanation:

Two polygons with the same number of sides are similar when their corresponding angles are equal (same shape) and their corresponding sides are in the same ratio (proportional), the constant ratio being the scale factor. For polygons with more than three sides both conditions are needed (for triangles one condition implies the other).

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Chapter 6: Triangles - EXERCISE 6.1 [Page 78]

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NCERT Mathematics [English] Class 10
Chapter 6 Triangles
EXERCISE 6.1 | Q 1. (iv) | Page 78
R.D. Sharma Mathematics [English] Class 10
Chapter 7 Triangles
EXERCISE 7.1 | Q 1. (vi) | Page 7.3
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