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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.
A transformation in which the figure grows larger is called?
A transformation in which the figure grows larger is called dilation. In dilation, every point of the figure is moved away from a fixed center point by a scale factor greater than one. This results in a proportional increase in the size of the figure while maintaining its shape.
What does dilation in math terms?
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while maintaining its shape and proportions. This is achieved by multiplying the coordinates of each point in the figure by a scale factor, which can be greater than, less than, or equal to one. A dilation centered at a point expands or contracts the figure relative to that point. The resulting figure is similar to the original, preserving angles and the ratio of corresponding lengths.
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
What transformation will produce a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. Dilation involves resizing a figure by a scale factor, which increases or decreases the size while maintaining the same shape and proportional relationships of the sides and angles. As a result, the new figure will have the same shape as the original but will differ in size, making them similar but not congruent.
Does dilation always make a congruent figure?
No it makes the figure bigger or smaller than the original
What type of transformation can change the size of an image from the original figure?
Dilation.
A transformation in which the figure grows larger is called?
A transformation in which the figure grows larger is called dilation. In dilation, every point of the figure is moved away from a fixed center point by a scale factor greater than one. This results in a proportional increase in the size of the figure while maintaining its shape.
What is the movement of a figure in a plane?
Transformations can be Translations--slide Reflections--flip Rotation--turn Dilation--either bigger or smaller
How do you find the scale factor of dilation?
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
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.
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
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.
