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Is this statement true or falseA dilation with a scale factor of -1 is equivalent to a 180° rotation with the same center?
true
What else can I help you with?
How can you find the center of dilation of a triangle and its dilation?
To find the center of dilation of a triangle and its dilation, you can identify a pair of corresponding vertices from the original triangle and its dilated image. Draw lines connecting each original vertex to its corresponding dilated vertex; the point where these lines intersect is the center of dilation. The scale factor can be determined by measuring the distance from the center of dilation to a vertex of the original triangle and comparing it to the distance from the center to the corresponding vertex of the dilated triangle.
Every dilation has a?
Center and Scale Factor....
What are the important pieces of information given for a dilation?
In a dilation, the important pieces of information include the center of dilation, which is the fixed point around which the dilation occurs, and the scale factor, which determines how much the figure is enlarged or reduced. The scale factor indicates the ratio of the distance from the center of dilation to a point on the image compared to the distance from the center to the corresponding point on the original figure. Additionally, the dimensions of the original figure and the coordinates of its vertices are essential for accurately performing the dilation.
What are the coordinates for an image on a dilation with a center at the origin?
it is nothing
A photographer knows that the center of a camera lens acts as a center of dilation, where the image of an object forms behind the lens.Is the scale factor for this dilation negative or positive?
Negative
How do you graph a dilation?
To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.
Why does a dilation transform a figure?
A dilation transforms a figure by scaling it proportionally from a fixed center point, known as the center of dilation. This process changes the size of the figure while maintaining its shape and the relative positions of its points. Each point in the original figure moves away from or toward the center of dilation based on a specified scale factor, resulting in a larger or smaller version of the original figure. Thus, dilation preserves the geometric properties, such as angles and ratios of distances.
What are the four geometric transformations?
The four geometric transformations are translation, rotation, reflection, and dilation. Translation involves sliding a figure from one position to another without changing its shape or orientation. Rotation turns a figure around a fixed point at a certain angle, while reflection flips it over a line, creating a mirror image. Dilation alters the size of a figure while maintaining its shape by expanding or contracting it relative to a center point.
What are the invariant points of a dilation?
Invariant points of a dilation are the points that remain unchanged under the transformation. In a dilation centered at a point ( C ) with a scale factor ( k ), the invariant point is typically the center ( C ) itself. This means that when a point is dilated with respect to ( C ), it either moves closer to or further away from ( C ), but ( C ) does not move. Therefore, the only invariant point in a dilation is the center of dilation.
Does dilation change the shape?
Geometric dilation (size change, typically expansion) does not change the shape of a figure, or its center location, only the size.
What is the outward from the center of rotation?
I think you mean the centrifugal force. That force points outwards from the center of rotation.
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.
