Which of the following statements are correct? Select all that apply.1. The regular polygon ABCDEFG is made up of 7 equilateral triangles 2. The regular polygon ABCDEFG has 14 diagonals 3. The regular polygon ABCDEFG can be broken down into 2 isosceles trapezoids and 1 isosceles triangle 4. The apothem of the regular polygon ABCDEFG is greater than the radius 5. The central angle of the polygon ABCDEFG is about 51.43° and each interior angle is about 128.57°6. The area of the circumcircle will be the same as the area of the polygon.7. The central angle ABCDEFG is the same measure of the exterior angle
Accepted Solution
A:
For a 7 sides polygon which is called heptagon or septagon Interior angles = (7-2)*180/7 = 128.57° Exterior angle = 180 - 128.57 = 51.43° Central angle = 360/7 = 51.43°
The statements which are correct:
3. The regular polygon ABCDEFG can be broken down into 2 isosceles trapezoids and 1 isosceles triangle
5. The central angle of the polygon ABCDEFG is about 51.43° and each interior angle is about 128.57°
7. The central angle ABCDEFG is the same measure of the exterior angle