A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image
length = nx, slope = nm
length is scaled by n, slope is unchanged.
A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image?
length = nx, slope = nm
length = nx, slope = m
length = x, slope = m
length = x, slope = nm
length = (n + m)x, slope = nm
To find the length and slope of the corresponding line segment in the image, we need to understand how a dilation affects these properties.
1. Length: When dilating a line segment by a scale factor, the length of the line segment in the image is equal to the length of the preimage multiplied by the scale factor. In this case, the length of the corresponding line segment in the image would be x * n.
2. Slope: A dilation does not change the slope of a line segment. Therefore, the slope of the corresponding line segment in the image would still be m.
So, the length of the corresponding line segment in the image would be x * n, while the slope would remain the same as m.