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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.
What does scale factor of two similar figures tell you about area?
If the sides of two shapes have a scale factor of sf:1, then their areas will be in the ratio of sf2: 1.
Perimeter ratio 100 and find scale factor?
The linear scale factor is 100.
What is the area of a trangle with scale factor of two thirds?
With similar objects (where one is an exact scale version of the other) then if the linear measurements are in the ratio 2 : 3 then the areas are in the ratio 22 : 32 which equals 4 : 9. So if the sides of two triangles have a scale factor of 2/3 then the areas have a scale factor of 4/9.
How do you find scale factor?
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.
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.
How is scale factor related to a ratio?
A scale factor is the ratio of corresponding linear measures of two objects.A scale factor is the ratio of corresponding linear measures of two objects.A scale factor is the ratio of corresponding linear measures of two objects.A scale factor is the ratio of corresponding linear measures of two objects.
When applied to a triangle a dilation with a positive scale factor does not preserve to what?
The perimeter to area ratio.
What does scale factor of two similar figures tell you about area?
If the sides of two shapes have a scale factor of sf:1, then their areas will be in the ratio of sf2: 1.
What is a scale written as a ratio called?
scale factor
Two similar triangles have a scale factor of 35 What is the ratio of their areas?
Their scale factor is 3 : 5, which mean their sides scale factor is 3 : 5, too. The area formula : S = bh/2 ---> The ratio of their areas : (3 : 5)^2=9 : 25 It's the answer.
What is the difference between scale factor and scale ratio?
if two polygons are similar, then the ratio of the length of 2 corresponding sides is called a scale factor
Perimeter ratio 100 and find scale factor?
The linear scale factor is 100.
What is a scale written as a ratio in simplest form?
scale factor
What is the area of a trangle with scale factor of two thirds?
With similar objects (where one is an exact scale version of the other) then if the linear measurements are in the ratio 2 : 3 then the areas are in the ratio 22 : 32 which equals 4 : 9. So if the sides of two triangles have a scale factor of 2/3 then the areas have a scale factor of 4/9.
How do you find scale factor?
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.
What gives the ratio that compares measurements of the drawing to the measurements of the real object?
It is the scale ratio or scale factor
