Question

which graph shows a dilation?

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not its shape. Corresponding sides of the original and dilated figure are parallel.

Step2: Analyze the first graph

In the first graph, the two triangles are similar (same - shape) and the sides of the larger triangle are parallel to the sides of the smaller triangle. This satisfies the condition of dilation.

Step3: Analyze the second graph

In the second graph, the two triangles are not similar in the sense of dilation. The angles and side - length ratios do not follow the dilation rule (corresponding sides are not parallel in the correct proportion).

Step4: Analyze the third graph

In the third graph, the two triangles are not similar in the sense of dilation. The angles and side - length ratios do not follow the dilation rule (corresponding sides are not parallel in the correct proportion).

Answer:

The first graph (the top - most of the three graphs) shows a dilation.