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Sometimes a dilation is an enlargement and sometimes it is a reduction. Explain what types of numbers for scale factors causes each.?
A scale factor whose absolute value is greater than one is an enlargement whereas if the absolute value is less than 1 it is a reduction.
A dilation is an enlargement if the scale factor is?
greater then 1
A problem in Math and you don't know how to solve it. Please help Sometimes a dilation is an enlargement and sometimes it is a reduction Explain what types of numbers for scale factors causes each?
If the dilation is >0 but <1, it is a reduction. If it is any number >1, it is an enlargement.
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
0.5
What is the scale factor of 36 and 18?
The scale factor between the 2 values is 36/18 = 6/3 = 2(but the dilation from 36 to 18, specifically, is 1/2, since 18/36 = 1/2).
How can you determine whether a dilation's is a reduction or a enlargement?
To determine whether a dilation is a reduction or an enlargement, compare the scale factor to 1. If the scale factor is greater than 1, the dilation is an enlargement, as the image will be larger than the original. Conversely, if the scale factor is between 0 and 1, the dilation is a reduction, resulting in a smaller image. Additionally, you can observe the distances from the center of dilation; if they increase, it's an enlargement, and if they decrease, it's a reduction.
Is a scale factor of a dilation always between 0 and 1?
No, a scale factor of a dilation is not always between 0 and 1. A scale factor can be greater than 1, which results in enlargement, or it can be between 0 and 1, leading to a reduction. Additionally, a negative scale factor can invert the figure. Thus, the scale factor can vary widely, affecting the size and orientation of the figure being dilated.
How does scale factor affect dilation's?
The scale factor in dilation determines the degree of enlargement or reduction of a geometric figure. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it. The shape of the figure remains the same, but the dimensions change proportionally based on the scale factor. For example, a scale factor of 2 doubles the size of each dimension, while a scale factor of 0.5 halves them.
What is the dilation of 22 if the scale factor is 2.5?
The dilation of 22 with scale factor 2.5 is 55.The formula for finding a dilation with a scale factor is x' = kx (k = scale factor), so x' = 2.5(22) = 55.
What type of dilation occurs with a scale factor of 14?
The type of dilation that occurs with a scale factor of 14 is enlargement. Any time the scale factor is larger than 1, it is enlargement.
Is a scale factor of 1 a dilation?
No a scale factor of 1 is not a dilation because, in a dilation it must remain the same shape, which it would, but the size must either enlarge or shrink.
Every dilation has a?
Center and Scale Factor....
What type of dilation occurs with a scale factor of one- fourth?
A dilation with a scale factor of one-fourth results in a reduction of the original figure to one-fourth of its size. This means that every point on the figure moves closer to the center of dilation, decreasing the distance from the center by 75%. Consequently, the resulting figure retains the same shape but is smaller than the original.
What are the two key characteristics of a dilation?
The two key characteristics of a dilation are the center of dilation and the scale factor. The center of dilation is a fixed point in the plane from which all other points are expanded or contracted. The scale factor determines how much the figure is enlarged or reduced; a scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. Dilation preserves the shape of the figure but changes its size.
Sometimes a dilation is an enlargement and sometimes it is a reduction. Explain what types of numbers for scale factors causes each.?
A scale factor whose absolute value is greater than one is an enlargement whereas if the absolute value is less than 1 it is a reduction.
A dilation is an enlargement if the scale factor is?
greater then 1
How do you solve dilation?
To solve a dilation problem, you first need to identify the center of dilation and the scale factor. The scale factor indicates how much larger or smaller the figure will be compared to the original. For each point on the original figure, you calculate the new coordinates by multiplying the distances from the center of dilation by the scale factor. Finally, plot the new points to create the dilated figure.
