Determine the scale factor used in the dilation of line segment AB, centered at the origin.
determine the scale factor used in the dilation of segment AB, Centered at the orgin 1/4 2 -4 4
In order to determine the scale factor used in the dilation of line segment AB, we need more information. The scale factor is the ratio of the lengths of the image and the original.
To determine the scale factor used in the dilation of line segment AB, we need to know the coordinates of point A and point B. Please provide the coordinates of point A and point B.
To determine the scale factor used in the dilation of line segment AB, centered at the origin, we need to compare the lengths of the original line segment AB and the dilated line segment.
1. Start by finding the coordinates of the endpoints of line segment AB. Let's say point A has coordinates (x1, y1) and point B has coordinates (x2, y2).
2. Use the distance formula to calculate the length of the original line segment AB. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substitute the coordinates of points A and B into the distance formula to calculate the length of line segment AB.
3. Next, find the coordinates of the endpoints of the dilated line segment. The origin (0, 0) is the center of dilation, so the coordinates of point A' (the dilated image of point A) would be (scale factor * x1, scale factor * y1), and the coordinates of point B' (dilated image of point B) would be (scale factor * x2, scale factor * y2).
4. Use the distance formula again to calculate the length of the dilated line segment A'B'.
5. The scale factor (denoted as 'k') is the ratio of the lengths of the dilated line segment A'B' and the original line segment AB. It can be calculated using the formula:
k = length of A'B' / length of AB
Substitute the calculated lengths into the formula to find the scale factor.
Now you have the steps to determine the scale factor used in the dilation of line segment AB, centered at the origin.