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when constructing parallel lines with a compass and straightedge, how should you start the construction

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Q: When constructing inscribed polygons how can you be sure the figure inscribed is a regular polygon?
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When constructing inscribed polygons how can you be sure the figure insrxibes is a regular polygon?

Each side will be equal in length


What does this mean when a circle is inscribed in a regular polygon?

Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.


How was the value of pi derived?

Historically one of the early methods of estimating the value of π was by taking a circle and inscribing and circumscribing a regular polygon (constructing a regular polygon inside and outside the circle- they knew how to do that mathematically 500 BC in Greece for a great number of polygons) They took the average of the circumferences of the polygons and divided that by the average of the diameters of the polygons to approximate a value for π.


Is a quadrilateral a regular polygon?

Quadrilaterals are polygons. They can be regular or irregular.


Polygons can be regular or irregular?

Yes, a regular polygon has all sides of equal length. An irregular polygon is any polygon that is not regular.


Which polygon will not tessellate a plane?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation.


A polygon with equal sides and angles?

They are regular polygons such as a square and an equilateral triangle


What polygon is always a regular polygon?

A square, pentagon, decagon, octagon are always regular polygons.


Is a concave polygon a regular polygon?

No, a concave polygon cannot be a regular polygon.


Which polygon does not tessellate and why?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.


How does a regular polygon differ from an irregular polygon?

regular polygons have all sides and angles congruent but irregular polygons only need to have a certain amount of sides


Is a square the only regular polygon?

There are an infinite number of regular polygons.