Answer:
*What is the most important thing that should be considered in constructing regular polygons?
Regular Polygons
A regular polygon is a polygon that is equiangular and equilateral. This means that all its angles are the same measure and all its sides are the same length.
The most basic example of a regular polygon is an equilateral triangle, a triangle with three congruent sides and three congruent angles. Squares are also regular polygons, because all their angles are the same
(90∘)
and all their sides are the same length. Regular polygons with five or more sides do not have special names. Instead, the word regular is used to describe them. For example, a regular hexagon is a hexagon (6 sided polygon) whose angles are all the same measure and sides are all the same length.
All regular polygons have rotation symmetry. This means that a rotation of less than
360∘
will carry the regular polygon onto itself. In fact, a regular
n
-sided polygon has rotation symmetry for any multiple of
360∘n
.
Constructions are step-by-step processes used to create accurate geometric figures. To create a construction by hand, there are a few tools that you can use:
Compass: A device that allows you to create a circle with a given radius. Not only can compasses help you to create circles, but also they can help you to copy distances.
Straightedge: Anything that allows you to produce a straight line. A straightedge should not be able to measure distances. An index card works well as a straightedge. You can also use a ruler as a straightedge, as long as you only use it to draw straight lines and not to measure.
Paper: When a geometric figure is on a piece of paper, the paper itself can be folded in order to construct new lines.
You can construct some regular polygons by hand if you remember the definitions and properties of these regular polygons. With the additional help of geometry software or a protractor, you can construct any regular polygon.
•Do you think you can make regular polygons without drawing instruments
no
