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How do scale factor and ratio of perimeters compare?
The sacle factor between two shapes is the same as the ratio of their perimeters.
What happens to surface area when dimensions are changed by a scale factor?
The area changes by the square of the same factor.
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. .
What is the scale factor for 12 cm equals 18 m?
It is the same as 2 cm = 3 m or 1 cm = 1.5 m The scale ratio would therefore be 150:1
What means to divide the numerator and the denominator of the ratio by the same factor?
To divide the numerator and the denominator of a ratio by the same factor means to simplify or reduce the ratio. This is done by dividing both numbers in the ratio by their greatest common factor, which results in an equivalent ratio.
In a model this the ratio of the linear dimension of the model to the same dimension of the original.?
It is the scale factor.
How do scale factor and ratio of perimeters compare?
The sacle factor between two shapes is the same as the ratio of their perimeters.
What happens to surface area when dimensions are changed by a scale factor?
The area changes by the square of the same factor.
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. .
Can two squares have the same ratio for their scale factor and the ratio of their areas?
Let a represent the scale factor of the two squares. Then it follows that the ratio of the areas is a^2. If these are equal, you get the equation a = a^2, and this is only true for a=0 or a=1. However, the only applicable value for a here is 1. In short, yes, they can, but only if both the scale factor and the ratio of the areas are equal to 1 (i.e. the squares are congruent)
What is the scale factor for 12 cm equals 18 m?
It is the same as 2 cm = 3 m or 1 cm = 1.5 m The scale ratio would therefore be 150:1
What means to divide the numerator and the denominator of the ratio by the same factor?
To divide the numerator and the denominator of a ratio by the same factor means to simplify or reduce the ratio. This is done by dividing both numbers in the ratio by their greatest common factor, which results in an equivalent ratio.
How is the perimeter and the size change factor related?
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
What happens to the area of a figure when the scale of the figure changes?
To find the new area, you have to multiply the original area by the square of the scale change. For example, you have a rectangle with adjacent sides of 3 and 4. Another rectangle has the same dimensions but with triple the scale. The original rectangle's area is 12. Multiply that by 9, which is the square of the new scale, and you get an area of 108. That matches up with the area of the new rectangle, which has adjacent sides of 12 and 9.
What means to divide the numerator and the denominator of a ratio by the same factor?
It is simplifying the ratio.
What does a scale factor of 1 do?
stay same
