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Q: How do you find the scale factor of the dilation with the center at the origin?
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Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?

0.5


Every dilation has a?

Center and Scale Factor....


What is the transformation of C(9 3) when dilated by a scale factor of 3 using the origin as the center of dilation?

It is (27, 9).


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 dilation of 22 if the scale factor is 2.5?

The dilation of 22 with scale factor 2.5 is 55.The formula for finding a dilation with a scale factor is x' = kx (k = scale factor), so x' = 2.5(22) = 55.


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 type of dilation occurs with a scale factor of 14?

The type of dilation that occurs with a scale factor of 14 is enlargement. Any time the scale factor is larger than 1, it is enlargement.


Is a scale factor of 1 a dilation?

No a scale factor of 1 is not a dilation because, in a dilation it must remain the same shape, which it would, but the size must either enlarge or shrink.


Is this statement true or falseA dilation with a scale factor of -1 is equivalent to a 180° rotation with the same center?

true


What is change of origin and change of scale?

Translation and dilation.


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).