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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.
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What is a point with respect to which a figure is dilated?
dilation
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.
Which of the transformations will produce a similar but not congruent figure?
A dilation would produce a similar figure.
What does the math term dilation mean?
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while keeping its shape and proportions intact. It involves scaling the figure up or down from a fixed point known as the center of dilation, using a scale factor that determines how much the figure is enlarged or reduced. Dilation can be applied in various contexts, including geometry and coordinate transformations.
What transformation will not produces a congruent figure?
A transformation that will not produce a congruent figure is a dilation. Dilation changes the size of a figure while maintaining its shape, meaning the resulting figure is similar but not congruent to the original. In contrast, congruent figures have the same size and shape, which is not preserved during dilation. Other transformations that maintain congruence include translations, rotations, and reflections.
A transformation in which a figure and its image are similar?
Dilation
What is a point with respect to which a figure is dilated?
dilation
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.
A transfromation in which a figure is enlarged or reduced?
Dilation is a transformation in which a figure is enlarged or reduced.
Which of the transformations will produce a similar but not congruent figure?
A dilation would produce a similar figure.
What does the math term dilation mean?
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while keeping its shape and proportions intact. It involves scaling the figure up or down from a fixed point known as the center of dilation, using a scale factor that determines how much the figure is enlarged or reduced. Dilation can be applied in various contexts, including geometry and coordinate transformations.
What is a transformation that changes the size of a figure but not its shape?
scale Or Dilation
Does dilation always make a congruent figure?
No it makes the figure bigger or smaller than the original
What is a transformation that shrinks or stretches a figure?
A variable
What type of transformation can change the size of an image from the original figure?
Dilation.
How does dilation relate to similarity?
Dilation is a transformation that alters the size of a figure while maintaining its shape and proportions, which directly relates to similarity in geometry. When a figure undergoes dilation, the resulting image is similar to the original figure, meaning corresponding angles remain the same and corresponding sides are in proportion. This property of dilation ensures that similar shapes can be created by scaling up or down without distorting their fundamental characteristics. Thus, dilation is a key method for establishing similarity between geometric figures.
What are the effects of transform?
i trying to figure that out
