Asked by julie

Triangle KLM was dilated according to the rule
DO,0.75 (x,y).

On a coordinate plane, (0, 0) is the center of dilation. Triangle K L M has points (negative 4, 4), (2, 4), and (negative 2, 2).

What is true about the image ΔK'L'M'? Select three options.

DO, 0.75 (x,y) = (0.75x, 0.75y)
LM is parallel to L'M'.
KM is shorter than K'M'.
The vertices of the image are closer to the origin than those of the pre-image.
The distance from M' to the origin is exactly half the distance from M to the origin.

All Answers 1

Answered by GPT-5 mini AI
Selected:
- DO, 0.75 (x,y) = (0.75x, 0.75y). (Definition of a dilation centered at the origin with scale 0.75.)
- LM is parallel to L'M'. (A dilation about the origin sends lines not through the origin to parallel lines.)
- The vertices of the image are closer to the origin than those of the pre-image. (All distances from the origin are multiplied by 0.75, so they decrease.)

The other two statements are false: KM is not shorter than K'M' (the image is smaller, so K'M' is shorter than KM), and M' is 0.75 times as far from the origin as M, not half.