Which regular polygon has a rotation of 240 degree to carry the polygon onto itself?

1 answer:

4 0

The regular polygon that has a rotation of 240 degrees to carry the polygon onto itself is the equilateral triangle.

<h3>The missing part of the question</h3>

<u>Options</u>

Equilateral triangle

Octagon

Rectangle

Pentagon

<h3>How to determine the polygon?</h3>

A polygon that can carry itself onto itself after a rotation of 240 degrees must obey the following rule:

Angle of rotation = 360/Sides

Next, we test the options:

Option (a) equilateral triangle

Angle of rotation = 360/3

Evaluate

Angle of rotation = 120

Next, we list the multiples of 120

120, 240, 360.....

See that 120 is a factor of 240.

This means that the equilateral triangle would be rotated onto itself when rotated by 240 degrees.

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80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.

gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)