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What is A transformation that is determined by a center point and a scale factor?
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
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.
Transformation that enlarges or reduces a figure?
Scaling changes the size of a figure. If the scale factor is greater than 1, the figure is enlarged; if the scale factor is less than 1, the figure is reduced. I the scale factor is equal to 1, the figure's size is unchanged. If there is a centre of enlargement, the new figure can be drawn exactly by multiplying the distance of every point from the centre of enlargement, multiplying this by the scale factor and drawing the new point at this distance from the centre of enlargement. (For a polygonal figure, only the vertices need be measured and the lines between the vertices of the original figure drawn in). With a centre of enlargement, the scale factor can be negative. In this case, the distance to the new points is measured on the opposite side of the centre to the original points, so that it is a straight line form the original point, through the centre to the new point.
How is the perimeter and the size change factor related?
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
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.
What is the scale factor that doubles the size of a figure called?
A scale factor of 2.
The scale factor that doubles the size of a figure?
2
What is a scale factor that triples the size of a figure?
3
The scale factor that triples the size of a figure is?
it is called a outter figure shape
How does the size of an image compare to the original figure undergoes a dilation with a scale factor of one?
A scale factor of one means that there is no change in size.
What scale factor doubles the size of a figure?
Depends what you mean by the "size" of the figure.To double the linear dimensions of the figure ===> Multiply the linear dimensions by 2.To double the area of the figure ===> Multiply the linear dimensions by sqrt(2). (1.4142)
The scale factor that quadruples the size of a figure is?
4
What is A transformation that is determined by a center point and a scale factor?
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
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.
Suppose you copy a figure on a copier using the given size factor find the scale factor from the original figure to the copy in decimal form 150 percent?
1.25
Which type of transformation uses a scale factor?
A similarity transformation uses a scale factor to enlarge or reduce the size of a figure while preserving its shape. It includes transformations such as dilation and similarity.
Transformation that enlarges or reduces a figure?
Scaling changes the size of a figure. If the scale factor is greater than 1, the figure is enlarged; if the scale factor is less than 1, the figure is reduced. I the scale factor is equal to 1, the figure's size is unchanged. If there is a centre of enlargement, the new figure can be drawn exactly by multiplying the distance of every point from the centre of enlargement, multiplying this by the scale factor and drawing the new point at this distance from the centre of enlargement. (For a polygonal figure, only the vertices need be measured and the lines between the vertices of the original figure drawn in). With a centre of enlargement, the scale factor can be negative. In this case, the distance to the new points is measured on the opposite side of the centre to the original points, so that it is a straight line form the original point, through the centre to the new point.
