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In a dilation the image is always similar to its pre-image?
Yes, it is.
A transformation in which a figure and its image are similar?
Dilation
How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
How do you find the scale factor of a dilation?
Image over preimage(original)
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).
A photographer knows that the center of a camera lens acts as a center of dilation, where the image of an object forms behind the lens.Is the scale factor for this dilation negative or positive?
Negative
What is the image of P for a dilation with center 0 0 and a scale factor of 2.5?
It is (2.5x, 2.5y) where P =(x,y).
What is the image of P for a dilation with center (0 0) and a scale factor of 2.5?
It is (2.5x, 2.5y) where P =(x,y).
In a dilation the image is always similar to its pre-image?
Yes, it is.
What are the coordinates of the image of the point 2 5 after it is rotated 180 degrees clockwise about the origin?
Rotating it about the origin 180° (either way, it's half a turn) will transform a point with coordinates (x, y) to that with coordinates (-x, -y) Thus (2, 5) → (-2, -5)
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 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 is the image of F for a dilation with center (0 0) and a scale factor of 10?
It is the letter F which is 10 times as large and, depending on where the original was, it may be translated.
How the Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 and deg about the origin?
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
