Question

a transformation of \\( \triangle klm \\) results in \\( \triangle klm \\). which transformation maps the pre - image to the image? dilation translation reflection rotation

Explanation:

• Dilation: A dilation is a transformation that changes the size of a figure but not its shape. In the given triangles \( \triangle KLM\) and \( \triangle K'L'M'\), the corresponding sides are proportional (the lengths of the sides of \( \triangle K'L'M'\) are larger than those of \( \triangle KLM\), but the angles are equal as the shape is preserved).
• Translation: A translation moves a figure without changing its size, shape, or orientation. Here, the size has changed, so it is not a translation.
• Reflection: A reflection flips a figure over a line. There is no indication of a flip (mirror - like symmetry about a line) in the given transformation.
• Rotation: A rotation turns a figure around a point. There is no indication of a turn (preserving size and shape) in the given transformation as the size has changed.

Answer:

dilation