Question 21 • Geometry
A dilation centered at the origin with scale factor 0.75 maps each point (x, y) to (0.75x, 0.75y), so statement C is true. A dilation preserves parallelism, making LM parallel to its image L′M′, so B is true. Because 0.75 is between 0 and 1, every image vertex is closer to the origin than its corresponding pre-image vertex, so E is true. The scale factor is not one-half, and the image side is shorter—not longer—than its corresponding original side, so D and A are false.
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