Answer:
Correct choices are A, B and D
Step-by-step explanation:
The rule DO,0.75 (x,y) is a dilation by a scale factor of 0.75 about the origin. This rule can be rewritten as
(x,y)→(0.75x,0.75y) (option A is true).
The dilation preserves parallel lines, then LM is parallel to L'M' (option B is true).
According to the rule of dilation, this means that K'M' is shorter than KM (option C is false).
The vertices of the image are placed on the segments that connect origin with vertices of the pre-image triangle, then the vertices of the image are closer to the origin than those of the pre-image (option D is true).
The distance from M' to the origin is exactly 0.75 times the distance from M to the origin (option E is false).