Question

a transformation of rectangle lmno results in rectangle lmno. which transformation maps the pre-image to the image?
options: dilation, stretch, reflection, rotation
(image shows original rectangle lmno with length 8, height 4; transformed rectangle lmno with length 6, height 4)

Explanation:

Step1: Analyze each transformation

• Dilation: Changes size (scales) with a scale factor. Pre - image length \( LM = 8 \), image length \( L'M'=6 \), height remains \( 4 \). Scale factor for length: \( \frac{6}{8}=\frac{3}{4} \), height scale factor \( \frac{4}{4} = 1 \). But dilation scales all dimensions proportionally, here height doesn't scale, so not dilation.
• Stretch: Changes one or more dimensions non - proportionally. The height (vertical side) stays \( 4 \), the length (horizontal side) changes from \( 8 \) to \( 6 \), so it's a horizontal stretch (or compression) which is a type of stretch transformation.
• Reflection: Flips over a line, would have mirror - image symmetry, but the figures are not mirror images (length changes, not a flip).
• Rotation: Turns around a point, would have rotational symmetry, but the figures are not rotated (orientation and length change pattern doesn't match rotation).

Answer:

stretch