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IgorC [24]
3 years ago
15

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

Mathematics
2 answers:
Tatiana [17]3 years ago
7 0
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.
aalyn [17]3 years ago
6 0
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. 
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A company logo is made up of a square and three identical triangles.
IgorLugansk [536]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

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alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

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3 years ago
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