Question

in the similarity transformation of ( \triangle abc ) to ( \triangle def ), ( \triangle abc ) was dilated by a scale factor of 2, reflected across the ?, and moved through the translation .

Explanation:

Step1: Analyze reflection axis

When reflecting a figure, if the \(y -\)coordinates of corresponding points change sign (e.g., point \(A(0,1)\) and its corresponding point in the transformed figure has a \(y -\)value of \(- 1\) in the lower - half of the coordinate system), it is a reflection across the \(x -\)axis.

Step2: Analyze translation

Since the problem is about the reflection part of the transformation, we focus on the reflection. The key is the vertical flip (change in \(y -\)coordinate sign) which is characteristic of reflection across the \(x -\)axis.

Answer:

x - axis