The image below shows two dilated figures with lines KL and K’L’ drawn. If the smaller figure was dilated using a scale factor of 2, what relationship do lines KL and K’L’ have?
they are the same
To determine the relationship between lines KL and K'L', let's first understand what a dilation is.
A dilation is a transformation that changes the size of a figure without changing its shape. It is done by multiplying the coordinates of each point by a scale factor. In this case, the smaller figure was dilated using a scale factor of 2, which means each coordinate of the smaller figure was multiplied by 2 in order to get the corresponding coordinates of the larger figure.
Based on this information, we can conclude that the relationship between lines KL and K'L' is that they are parallel. When a figure is dilated, any line segment within the figure will be enlarged or shrunk, but it will remain parallel to its corresponding segment in the original figure.
Therefore, lines KL and K'L' are parallel in the given image.