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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 scale factor and perimeter?
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
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 is the relationship between the actual and scale area?
If 'S' is the relationship between actual and scale linear dimensions,then 'S2' is the relationship between actual and scale areas.
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 on the map which indicates the relationship between a given measurement and the area it represents on map?
It is the scale.
How does scale factor relate to area?
If the scale factor is r, then the new area will be the area of the original multiplied by r^2
What line on a map indicates the relationship between a given measurement and the area it represents on a map?
A scale on a map indicates the relationship between a given measurement and the area it represents. This scale helps with understanding distances and sizes accurately on the map.
How does the scale factor apply to the area?
The areas are related by the square of the scale factor.
How does the area change when you have a scale factor of 2?
When the scale factor is 2, the area of a shape increases by a factor of the square of the scale factor. Therefore, if the original area is ( A ), the new area becomes ( 2^2 \times A = 4A ). This means the area quadruples when the dimensions of the shape are scaled by a factor of 2.
How can you use scale factor to find a new perimeter and area?
New perimeter = old perimeter*scale factor New area = Old area*scale factor2
What is the line on a map which indicates the relationship between a given measurement and a area it represents on a map?
It is the scale.
