Question

what kind of transformation is illustrated in this figure?
reflection
dilation
translation
rotation

Explanation:

• Reflection: A reflection flips a figure over a line. There is no indication of a flip here.
• Dilation: A dilation resizes a figure. The two triangles appear to be the same size.
• Translation: A translation slides a figure without rotation or reflection. The orientation of the triangles is the same, which is a key characteristic of translation.
• Rotation: A rotation turns a figure around a point. The orientation of the triangles (the order of \(A\), \(B\), \(C\) and \(A'\), \(B'\), \(C'\)) is preserved as in translation, not rotated.

Answer:

translation