Two polygons of the same number of sides are similar, if their corresponding angles are …………….. . (equal, proportional)
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The correct Answer is:
To determine the condition for two polygons of the same number of sides to be similar, we need to analyze the relationship between their corresponding angles.
### Step-by-Step Solution:
1. **Understanding Similar Polygons**:
- Two polygons are said to be similar if they have the same shape but not necessarily the same size. This means that their corresponding angles must be equal.
2. **Identifying Corresponding Angles**:
- For two polygons with the same number of sides, we can label the angles of the first polygon as A, B, C, and so on, and the angles of the second polygon as P, Q, R, etc.
3. **Establishing the Condition**:
- The condition for similarity states that each angle in the first polygon must be equal to the corresponding angle in the second polygon. Therefore, we can write:
- Angle A = Angle P
- Angle B = Angle Q
- Angle C = Angle R
4. **Conclusion**:
- Since the corresponding angles are equal, we conclude that the answer to the question is "equal".
### Final Answer:
Two polygons of the same number of sides are similar if their corresponding angles are **equal**.
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