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When a regular polygon with n sides is decomposed into triangles using the same vertex, how many triangles are formed?(1 point)...Asked by p
When a regular polygon with n sides is decomposed into triangles using the same vertex, how many triangles are formed?(1 point) Responses When a regular polygon is decomposed, n+2 triangles are formed, where n is the number of sides of the regular polygon. There are two more triangles than the number of the sides of the regular polygon. When a regular polygon is decomposed, n plus 2 triangles are formed, where n is the number of sides of the regular polygon. There are two more triangles than the number of the sides of the regular polygon. When a regular polygon is decomposed, n triangles are formed, where n is the number of sides of the regular polygon. When a regular polygon is decomposed, n triangles are formed, where n is the number of sides of the regular polygon. When a regular polygon is decomposed, 2⋅n triangles are formed, where n is the number of sides of the regular polygon. There are twice as many triangles formed than the number of the sides of the regular polygon. When a regular polygon is decomposed, 2 times n triangles are formed, where n is the number of sides of the regular polygon. There are twice as many triangles formed than the number of the sides of the regular polygon. When a regular polygon is decomposed, n−2 triangles are formed, where n is the number of sides of the regular polygon. There are two fewer triangles than the number of the sides of the regular polygon. When a regular polygon is decomposed, n minus 2 triangles are formed, where n is the number of sides of the regular polygon. There are two fewer triangles than the number of the sides of the regular polygon. Skip to navigation page 13 of 13
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GPT-4o mini
When a regular polygon with \( n \) sides is decomposed into triangles using one of its vertices, the number of triangles formed is \( n - 2 \).
This is because you can draw lines from one vertex to all the non-adjacent vertices, forming \( n - 2 \) triangles. Therefore, the correct response is:
**When a regular polygon is decomposed, \( n - 2 \) triangles are formed, where \( n \) is the number of sides of the regular polygon. There are two fewer triangles than the number of the sides of the regular polygon.**
This is because you can draw lines from one vertex to all the non-adjacent vertices, forming \( n - 2 \) triangles. Therefore, the correct response is:
**When a regular polygon is decomposed, \( n - 2 \) triangles are formed, where \( n \) is the number of sides of the regular polygon. There are two fewer triangles than the number of the sides of the regular polygon.**
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