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Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared.
Examples:
* if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4.
* If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.
If the figures are similar, all linear measurements are proportional, while equivalent areas are proportional to the square of the area. For example, if you increase the length by a factor of 10, both the width and the perimeter will also increase by a factor of 10; while the area will increase by a factor of 10 squared (= 100).
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Is it true that the greater the perimeter the greater the area?
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
What is the definition for similar figures?
Similar figures are geometrical figures, which have the same shape but not the same size
Figures that have the same shape but not necessarily the same size?
it is definitely similar figures!
What do congruent and similar figures have in common?
Their angles are the same.
How do the ratios of side lengths compare for similar triangles?
The definition of "similar" geometric figures requires that the ratios of all equivalent sides, between the two figures, are the same. For example, one side of one triangle divided by the equivalent side of the other triangle might result in a ratio of 3.5 - in this case, if the triangles are similar, you will get the same ratio if you compare other equivalent sides.
What do you know about the perimeters of similar figures?
The areas are different.
What does the scale factor between two similar figures tell you about the perimeters?
if you add up all the sides but in a smart way
How are the perimeters of two similar figures related?
they are related when you can multiply or divide them together and get a whole number
What is the relationship between corresponding angles of similar figures?
They must be the same.
What does the scale factor between two similar figures tell you about the given measurement perimeters?
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
How do changes in dimensions of similar geometric figures affect the perimeters and areas of the figure?
First you have to go on stop being a fat kid
Is it true that the greater the perimeter the greater the area?
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
If the ratio of the side lengths of two similar polygons is 31 what is the ratio of the perimeters?
Their perimeters are in the same ratio.
What is the similarity ratio of the perimeters of 25ft and 20ft?
The ratio of 25-ft to 20-ft is 5/4 or 1.25 .But ... knowing the perimeters alone is not enough informationto guarantee that the two figures are similar.-- They could be two rectangles, one measuring 25-ft by 1-ft, the other measuring 4-ft by 5-ft.Those are not similar rectangles.-- They could even be one rectangle and one triangle ... definitely not similar.
What are the relationship between the area scale factor and the side length scale factor of similar figures?
The area scale factor is the square of the side length scale factor.
What is the relationship between Eumaeus and Telemachus?
The relationship between them is similar to father and son.
What is the relationship between an organ and organ system is similar to the relationship between a cell and?
Atissue
