The scale factor of abc to def is the number of times def is larger than abc. In other words, it is the ratio of the size of def to the size of abc. For example, if the scale factor of abc to def is 2, then def is twice as large as abc. If the scale factor of abc to def is 0.5, then def is half as large as abc.
How do you calculate the scale factor of two figures?
In geometry, the scale factor is the ratio of the lengths of two corresponding sides of two similar figures. The scale factor can be expressed as a fraction or as a decimal. To calculate the scale factor, you need to know the lengths of at least two corresponding sides of the two figures.
To calculate the scale factor of two figures, first you need to find the lengths of at least two corresponding sides of the two figures. Next, you need to use the ratio formula to set up a proportion. The ratio of the lengths of the two corresponding sides will be equal to the scale factor. To solve for the scale factor, you will need to cross multiply and then divide. After you have the scale factor, you can use it to find other missing lengths in the two figures.
What is the scale factor of a figure if it is enlarged by a factor of 2?
If a figure is enlarged by a factor of 2, the scale factor is 2. To find the scale factor, divide the new length by the old length. For example, if a line segment is enlarged by a factor of 2, the new length would be twice the old length, so the scale factor would be 2.
What is the scale factor of a figure if it is reduced by a factor of 2?
The scale factor of a figure is the number by which the figure is multiplied to achieve the reduced size. In this case, the scale factor is 2. The reduced size is achieved by multiplying the figure by 2.
What is the scale factor of a figure if it is enlarged by a factor of 3?
If a figure is enlarged by a factor of 3, the scale factor is 3. To find the scale factor, divide the new length by the original length. For example, if a line segment is increased from 6 centimeters to 18 centimeters, the scale factor is 3.
What is the scale factor of a figure if it is reduced by a factor of 3?
When reducing a figure by a factor of 3, the scale factor is 1/3. To find the scale factor, divide the new dimension by the old dimension. For example, if a figure is reduced from 6 inches to 2 inches, the scale factor would be 1/3. To find the new dimension of the figure, multiply the scale factor by the old dimension. In the example above, the new dimension of the figure would be 2 inches.
What is the scale factor of a figure if it is enlarged by a factor of 4?
The scale factor of a figure is the ratio of the lengths of the corresponding sides of the two figures. In other words, it is a measure of how much larger or smaller one figure is in comparison to another. If a figure is enlarged by a factor of 4, then the scale factor of the figure is 4.
What is the scale factor of a figure if it is reduced by a factor of 4?
If a figure is reduced by a factor of 4, the scale factor of the figure is 1/4. This is because when a figure is reduced, the new dimensions of the figure are reduced by the same factor. For example, if a figure is originally 10 inches wide and is reduced by a factor of 4, the new width of the figure would be 2.5 inches (10 inches divided by 4). The scale factor is the ratio of the original dimension to the new dimension, so in this example, the scale factor would be 10:2.5, or 4:1.
What is the scale factor of a figure if it is enlarged or reduced by a factor of 0?
When a figure is enlarged by a factor of 0, the scale factor is also 0. This means that the figure is exactly the same size as it was before it was enlarged. Similarly, when a figure is reduced by a factor of 0, the scale factor is also 0, which means that the figure is still exactly the same size as it was before it was reduced.
Frequently Asked Questions
What is the scale factor of segment AB?
The scale factor of segment AB is 1.5.
Which of the following is the measure of triangle ABC?
side lengths: 2.9, 4.6, and 4.9 cm angle: 78°, 36°, and 66°
What is the scale factor of a triangle?
The scale factor of a triangle is the ratio of any two corresponding lengths in two similar geometric figures.
Which segment is dilated to create line segment A'B'?
All that apply
What is the scale factor of the dilation of segment Hg?
The scale factor of the dilation of segment Hg is 1/6
Sources
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