Question

a transformation of \\( \triangle k l m \\) results in \\( \triangle k ^ { \prime } l ^ { \prime } m ^ { \prime } \\). which transformation maps the pre - image to the image? dilation translation reflection rotation

Explanation:

Step1: Analyze dilation

Dilation changes the size of a figure. Here, the two triangles \( \triangle KLM\) and \( \triangle K'L'M'\) have the same shape but different sizes.

Step2: Analyze translation

Translation moves a figure without changing its size, shape or orientation. But the size of \( \triangle KLM\) and \( \triangle K'L'M'\) is different.

Step3: Analyze reflection

Reflection flips a figure over a line. It does not change the size of the figure. But \( \triangle KLM\) and \( \triangle K'L'M'\) have different sizes.

Step4: Analyze rotation

Rotation turns a figure around a point. It does not change the size of the figure. But \( \triangle KLM\) and \( \triangle K'L'M'\) have different sizes.

Answer:

dilation