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Polygons are unbounded because they close on themselves in a circuit. An infinite polygon goes on forever, making it unbounded. A skew polygon has three dimensions of zig-zagging and a spherical polygon, on the sphere surface, is a circuit of corners and sides.
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Make and test a generalization for each set of polygons?
REal answers
Are circles polygons?
NO, a circle is not a polygon. A polygon is composed of a finite set of straight line segments, and a circle has NO straight line segments.
Fiona is drawing polygons on a computer. She wants to map a regular 9-sided polygon back onto itself using a reflection. Which set of lines can Fiona choose from for her line of reflection?
A
What best describes a semi regular tessellation?
A semi-regular tessellation is using multiple copies of two (or more) regular polygons so as to cover a plane without gaps or overlaps. The different shapes have sides of the same length and the shapes meet at vertices in the same (or exact reverse) order.The image used with this question:http://file2.answcdn.com/answ-cld/image/upload/w_300,h_115,c_fill,g_face:center,q_60,f_jpg/v1401482497/u6cbkstcqpiibq3485hr.pnguses a regular quadrilateral (a square) and an equilateral triangle. At each vertex, these two shapes, starting with the shape at the top, meet in the following order: TSTTS ot STTST.
Every parallelogram is a rectangle true or false?
This is false. Every rectangle is a parallelogram, but the converse (your statement) is not true. Imagine the set of all quadrilaterals (4 sided polygons). Within that set would be sets of kites, parallelograms, and other quadrilaterals. Within the parallelogram set, would be rectangles, rhombuses and other parallelograms. Then if a rhombus is also a rectangle, it would be a square, that would be the intersection of the set of rectangles and set of rhombuses. Hope this helps.
Make and test a generalization for each set of polygons?
REal answers
What kind of group would have a square a triangle and a rectangle?
A set of polygons might have such shapes in it. Certainly the set of all polygons does. So does the set of all polygons with fewer than 5 sides. Many other examples could be given. I am avoiding the use of the word "group", because it has a technical meaning in modern algebra.
How many polygons are there with 3 parallel lines?
Infinitely many. Polygons with 6 or more sides can have 3 pairs of parallel lines. Polygons with 7 or more sides can have a set of three parallel lines.
What are the characteristics of each set of numbers that make up the set of integers?
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Means allowing objects of different types to be considered as examples of higher level set?
generalization
How do you find the area of a zig zag shape?
Assuming its sides are all straight, divide the area into a set of individual triangles &/or other polygons, determine the area of each element then sum these.
Is it true that tourists do not care about natural resources?
No. While some probably don't, you can't apply such a sweeping generalization to all tourists. Tourists are people, and they each have their own set of thoughts, concerns, and opinions.
What is the math behind the concept of tesselations?
When polygons are set out on a plane they must not overlap and have no gaps
Which set of polygons will create a tessellation?
All sorts of polygons can create tessellations. See attached link for some examples: http://http://en.wikipedia.org/wiki/Tessellation
Can you make a generalization about the relationship between the number of elements in a set and the number of subsets?
For a set with a finite number, n, of elements, the number of subsets in 2^n. This includes the null set and the set itself. Things get a bit complicated if the original set has infinitely many elements. It is still 2^k but the complications arise because of infinities and transfinite numbers.
What are the vertics of all 20 polygon?
The answer depends on which of the infinitely many possible polygons you consider to be the set of 20.
What are the building blocks of theory?
Theory is an abstract generalization that systematically explains how phenomena is interrelated, consisting of concepts and a set of propositions.
