Mathematics: Consider the rotational symmetry of regular hexagon abcdef. what is the order of rotational symmetry for hexagon abcdef? 1 3 6 8

Consider the rotational symmetry of regular hexagon

itzyagirlshy

13.03.2022

Hello there!

A regular hexagon has 6 equal sides, so if you want to see the symetri angles, you need to see:

A = n*360/6 where n can be 0,1,2,3,4,5,6

then

A₀ = 0°

A₁ = 360°/6 = 60°

A₂ = 120°

A₃ = 180°

A₄ = 240°

A₅ = 300°

A₆ = 360°

discarding A₀ = 0° ( because this is not a rotation) You have 6 angles for symmetrical rotation, so the order of rotational symmetry is is 6.

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tilsendt

22.02.2021

2x+3y-5=0

Step-by-step explanation:

We have been given two points (4,-1) and (-2,3). Now we need to find about

what is the equation of the line that passes through (4,-1) and (-2,3).

Slope of the line through the points (4,-1) and (-2,3) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{3-\left(-1\right)}{-2-4}=\frac{3+1}{-6}=\frac{4}{-6}=-\frac{2}{3}$

Now plug the slope $m=-\frac{2}{3}$ and point (4,-1) into point slope formula

$y-y_1=m\left(x-x_1\right)$

$y--1=-\frac{2}{3}\left(x-4\right)$

$y=-\frac{2}{3}x+\frac{5}{3}$

or we can rewrite that as 2x+3y-5=0

Hence final answer is 2x+3y-5=0

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