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.
If the original point was (-4, 12) then the image is (-16, 48).
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.
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.
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.
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.
If the original point was (-4, 12) then the image is (-16, 48).
Negative
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.
Center and Scale Factor....
It is (2.5x, 2.5y) where P =(x,y).
It is (2.5x, 2.5y) where P =(x,y).
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.
With a scale factor of 1, the image is exactly the same size as the original object.
Image over preimage(original)
The image is a similar shape to that of the original.
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
A scale factor of one means that there is no change in size.