Question

use the image above to write a conjecture about regular polygons and lines of symmetry

Answer 1

To find conjecture about regular polygon, use the formula $\frac{360}{n}$

Where, n = number of sides of the regular polygone

1) Triangle
n =3
So, Conjecture of the triangle = $\frac{360}{3}$ = 120

2) Square
n =4
So, Conjecture of the square = $\frac{360}{4}$ = 90

3) Pentagone
n = 5
So, Conjecture of the pentagon = $\frac{360}{5}$ = 72

4) Hexagone
n = 6
So, Conjecture of the pentagon = $\frac{360}{6}$ = 60.

Answer 2

A conjecture about the image would be that the number of lines of symmetry that a regular polygon has is equal to the number of sides that the polygon has. The equilateral triangle has three sides and three lines of symmetry, the square has four sides and four lines of symmetry. The pattern continues with the pentagon and the hexagon as well.