when constructing parallel lines with a compass and straightedge, how should you start the construction
Each side will be equal in length
Quadrilaterals are polygons. They can be regular or irregular.
Correct.
There are only three regular polygons which can make a regular tessellation?
The definition of a regular polygons is a polygon that is both equiangular and equilateral. in a kite not all the sides are the same then its angles are not all equal then it is not a regular polygon.
Each side will be equal in length
Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.
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.
Quadrilaterals are polygons. They 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.
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.
They are regular polygons such as a square and an equilateral triangle
A square, pentagon, decagon, octagon are always regular polygons.
No, a concave polygon cannot be a regular polygon.
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.
regular polygons have all sides and angles congruent but irregular polygons only need to have a certain amount of sides
There are an infinite number of regular polygons.