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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).
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.
What are the coordinates of the image of the point (8-9) after a dilation by a scale factor of 5 origin as the dilation followed by a translation over the x-axis?
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
Dilation is a transformation whose preimage and image are A. similar B. adjacent C. complementary D. congruent?
similar
What is the relationship between the vertices of a shape the scale factor and the center of dilation?
None. The vertices, the scale factor as well as the centre of dilation can each be defined independently of the other two. Each different combination will result in a different image.
What are the coordinates for an image on a dilation with a center at the origin?
it is nothing
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).
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.
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
A transformation in which a figure and its image are similar?
Dilation
What are the coordinates of the image of the point (8-9) after a dilation by a scale factor of 5 origin as the dilation followed by a translation over the x-axis?
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
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.
