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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 is a point with respect to which a figure is dilated?
dilation
What are the coordinates of the image of the point (-412) under a dilation with a scale factor of 4 and the center of dilation at the origin?
If the original point was (-4, 12) then the image is (-16, 48).
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.
A transformation in which a figure and its image are similar?
Dilation
What type of transformation can change the size of an image from the original figure?
Dilation.
A new figure made after a transformation is called?
In mathematical terms, the figure that is made after a transformation is what is known as an image. Prior to the chance, the figure is called the pre-image. Changing into an image can take place after four types of mathematical transformations: translation, reflection, rotation and dilation.
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 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.
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
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.
In a dilation the image is always similar to its pre-image?
Yes, it is.
Why is a dilation not an isometry?
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.
What transformation is not an isometry?
Dilation - the image created is not congruent to the pre-image
What is a point with respect to which a figure is dilated?
dilation
What are the coordinates for an image on a dilation with a center at the origin?
it is nothing
