Question

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

Answer 1

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.