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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.

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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).


How can you determine whether a dilation's is a reduction or a enlargement?

To determine whether a dilation is a reduction or an enlargement, compare the scale factor to 1. If the scale factor is greater than 1, the dilation is an enlargement, as the image will be larger than the original. Conversely, if the scale factor is between 0 and 1, the dilation is a reduction, resulting in a smaller image. Additionally, you can observe the distances from the center of dilation; if they increase, it's an enlargement, and if they decrease, it's a reduction.


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.


How do you find coordinate's dilated?

To find the coordinates of a point after dilation, you multiply the original coordinates by the scale factor. If the point is represented as ( (x, y) ) and the scale factor is ( k ), the new coordinates become ( (kx, ky) ). If the dilation is from a center point other than the origin, you would first subtract the center coordinates from the point, apply the scale factor, and then add the center coordinates back to the result.

Related Questions

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


How can you determine whether a dilation's is a reduction or a enlargement?

To determine whether a dilation is a reduction or an enlargement, compare the scale factor to 1. If the scale factor is greater than 1, the dilation is an enlargement, as the image will be larger than the original. Conversely, if the scale factor is between 0 and 1, the dilation is a reduction, resulting in a smaller image. Additionally, you can observe the distances from the center of dilation; if they increase, it's an enlargement, and if they decrease, it's a reduction.


Every dilation has a?

Center and Scale Factor....


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).


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.


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.


How do you find the scale factor of a dilation?

Image over preimage(original)


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 dilation?

The scale factor is the ratio of any side of the image and the corresponding side of the original figure.


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.