Given that line segment LM is dilated by a scale factor of to form L'M'. Statement D). is true.
What is dilation of a line segment?
The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).
When a line segment gets dilated, it gets longer or shorter. But, the slope does not change. Also, the center of dilation which lies on the line segment, stays on the line only. Thus, D). is true.
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