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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).
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 the image of Q for a dilation with center (0 0) and a scale factor of 0.5?
To find the image of point Q under a dilation centered at (0, 0) with a scale factor of 0.5, you multiply the coordinates of Q by 0.5. If Q has coordinates (x, y), the image of Q after dilation will be at (0.5x, 0.5y). This means that the new point will be half the distance from the origin compared to the original point Q.
Which transformation does not produce a congruent image?
A transformation that does not produce a congruent image is a dilation. While dilations change the size of a figure, they maintain the shape, meaning the resulting image is similar but not congruent to the original. In contrast, transformations such as translations, rotations, and reflections preserve both size and shape, resulting in congruent images.
Dilation is a transformation whose preimage and image are A. similar B. adjacent C. complementary D. congruent?
similar
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 is true about the resulting image of a scale factor 3 dilation?
The image is a similar shape to that of the original.
How do you find the scale factor of a dilation?
Image over preimage(original)
What type of transformation can change the size of an image from the original figure?
Dilation.
Describe the image of a dilation with a scale factor of 1?
With a scale factor of 1, the image is exactly the same size as the original object.
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).
Which of the following scale factors would produce a contraction under a dilation of the original image?
The answer is 0.5
How can you determine the scale factor of a dilation by looking at a segment and its image?
Every part of the original scales by the same scale factor. By using a segment of the original you will determine the scale factor by dividing the length of the image by the length of the original.
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.
What sets of transformations would create an image that is not congruent to its original image?
It is an enlargement
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
In a dilation the image is always similar to its pre-image?
Yes, it is.
