Q: If two polygons are similar how can you find the scale factor from one polygon to the other?

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cont the angle then multiply by 77

Two polygons are similar if they meet the following criteria. They must have the same number of sides. Each vertex of one polygon has a corresponding vertex on the other polygon with same angle measurement. Each side on one polygon is proportional to a corresponding side on the other one by the same scalar multiple. If the two polygons are triangles, then if angle criteria is satisfied the side proportion will automatically be satisfied. The converse is true as well. For other polygons, both sides and angles must be tested. An example would be a square and a rhombus.

For any polygon, there will be other shapes such that, together, they can tessellate.

From what I have been able to find out (using my daughter's homework) is that "Power Polygons" are any "normal" polygon that can be combined with another "normal" polygon to form another, different looking polygon (a mega-polygon, I guess?)that you can then divide up so you can see the individual "Power Polygon" pieces. Perhaps the name "Power Polygons" is derived from the fact that these polygons have the power to create other polygons. Logically then a "Power Polygon" is, really, just any polygon, just with a new, exciting, and high tech sounding name.

The triangle is the most rigid polygon because amongst the other polygons, it has the least amount of sides.

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cont the angle then multiply by 77

You divide a length of one polygon by the corresponding length in the other polygon. Any length will do, as long as you use the corresponding length in both.

Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".

-- All regular (equilateral) triangles are similar. -- All squares are similar. -- All pentagons are similar. -- All hexagons are similar. . . . etc. Any regular polygon is similar to all other regular polygons with the same number of sides.

Any polygon other than a triangle can be divided into simpler polygons. They can all be divided into triangles.

A pyramid

they came from how many sides are on the polygon

Two polygons are similar if they meet the following criteria. They must have the same number of sides. Each vertex of one polygon has a corresponding vertex on the other polygon with same angle measurement. Each side on one polygon is proportional to a corresponding side on the other one by the same scalar multiple. If the two polygons are triangles, then if angle criteria is satisfied the side proportion will automatically be satisfied. The converse is true as well. For other polygons, both sides and angles must be tested. An example would be a square and a rhombus.

The majority of polygons would meet these requirements. Polygons with congruent sides are the exception rather than the other way around.

For any polygon, there will be other shapes such that, together, they can tessellate.

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.

Because all other polygons are derived from it