The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas.A.TrueB.False

Analysis of the Statement

1. Understanding a Regular Heptagon: A regular heptagon is a polygon with seven equal sides and seven equal angles.

2. Concept of Breaking into Triangles: To find the area of any polygon, especially a regular one, it is common to decompose it into triangles. For a regular heptagon, it can indeed be divided into seven congruent triangles by drawing lines from the center of the heptagon to each vertex.

3. Area Calculation: The area of each triangle can be calculated, and since they are congruent, you simply multiply the area of one triangle by seven to get the area of the heptagon.

Conclusion

The statement provided is True. Each of the seven congruent triangles formed by connecting the center of the heptagon to each of its vertices can be separately calculated, and their areas can be summed to determine the total area of the regular heptagon.

Final Answer

A. True