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How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' explain your answer?
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' can be determined by comparing the lengths of corresponding sides of the triangles. If, for example, the length of side PQ is 4 units and the length of side P'Q' is 8 units, the scale factor would be 8/4 = 2. This means that triangle P'Q' is twice the size of triangle PQR, indicating a dilation with a scale factor of 2.
What is the transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
How do you enlarge a figure on a coordinate graph?
To enlarge a figure on a coordinate graph, you can apply a dilation transformation using a scale factor. Choose a center point for the dilation, often the origin or the center of the figure, and multiply the coordinates of each vertex by the scale factor. For example, if you use a scale factor of 2, each coordinate (x, y) becomes (2x, 2y), effectively doubling the size of the figure while maintaining its shape and proportions.
A B C Has coordinates of A(6 7) B(4 2) and C(0 7). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.?
To find the image of points A, B, and C after a dilation centered at the origin with a scale factor of 2, you multiply each coordinate by 2. The new coordinates are A'(12, 14), B'(8, 4), and C'(0, 14). Thus, the images of the points after dilation are A'(12, 14), B'(8, 4), and C'(0, 14).
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.
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 transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
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).
What does the word dilation in geometry mean?
Getting bigger. Dilation factor of 2, then it would get twice the size.
Triangle PA'B' is a dilation of triangle PAB using a scale factor of k = 3. Complete the following statement with a number.The length AA' is _____ times the length PA?
2
In geometry what is a dilation?
A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of a dilation with a scale factor of 2. This means that the image, A', is twice as large as the pre-image A. Like other transformations, prime notation is used to distinguish the image fromthe pre-image. The image always has a prime after the letter such as A' . resource: http://www.mathwarehouse.com/transformations/dilations/dilations-in-math.php
What is the transformation of B(-48) when dialated by a scale factor of 2using the orgin as the center of dilation?
A.)b'(4,-2) b.)b'(-8,16) c.)b'(-2,4) d.)b'(16,-8)
What is the scale factor of 2 centimeters 3 meters?
The scale factor is 1 to 150
What is the scale factor that doubles the size of a figure called?
A scale factor of 2.
How 2 find scale factor?
A scale factor of 2 means everything is shown in half the size of the original.
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.
