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How does the coordinate rule for making 2 similar shapes relate to the scale factor?
The coordinate rule for creating similar shapes involves multiplying the coordinates of the original shape by a scale factor. This scale factor determines how much larger or smaller the new shape will be compared to the original. For example, if the scale factor is 2, every coordinate of the original shape is doubled, resulting in a shape that is twice the size. Thus, the scale factor directly influences the dimensions and proportions of the similar shapes while maintaining their overall shape.
What does the scale factor between two similar shapes tell you about the angles?
The scale factor between two similar shapes indicates that their corresponding angles are equal. This means that even though the shapes may differ in size, their angular measures remain consistent across both shapes. Therefore, the scale factor affects only the lengths of the sides, not the angles. Similar shapes maintain the same shape and proportions, preserving the angle relationships.
How are the areas of similar rectangles related to the scale factor?
The areas are proportional to the square of the scale factor.
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
How do you determine surface area of similar objects when it has a scale factor of 2?
For areas: Square the Scale Factor.
What is similar about scale and scale factor?
proportions are used in scale factors; scale factors ARE proportions
How does the coordinate rule for making 2 similar shapes relate to the scale factor?
The coordinate rule for creating similar shapes involves multiplying the coordinates of the original shape by a scale factor. This scale factor determines how much larger or smaller the new shape will be compared to the original. For example, if the scale factor is 2, every coordinate of the original shape is doubled, resulting in a shape that is twice the size. Thus, the scale factor directly influences the dimensions and proportions of the similar shapes while maintaining their overall shape.
What does the scale factor between two similar shapes tell you about the angles?
The scale factor between two similar shapes indicates that their corresponding angles are equal. This means that even though the shapes may differ in size, their angular measures remain consistent across both shapes. Therefore, the scale factor affects only the lengths of the sides, not the angles. Similar shapes maintain the same shape and proportions, preserving the angle relationships.
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 difference between variable proportions and returns to scale?
what is relationship between change in input and output. In the return's to scale (long term concept) all the factor are variable but in the variable proportions are some factor variable and some factors are fixed.
How are the areas of similar rectangles related to the scale factor?
The areas are proportional to the square of the scale factor.
What is the name of the common ratio of corresponding sides of similar figures?
The scale factor.The scale factor.The scale factor.The scale factor.
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
How do you determine surface area of similar objects when it has a scale factor of 2?
For areas: Square the Scale Factor.
What is a scale factor on a triangle?
If two triangles are similar, then the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
Why are congruent figures also similar?
They are similar, with a scale factor of 1.
Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?
Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.
