Question

what would be the correct types of transformations to go from fig.1 to fig.2 to fig. 3? reflection then translation translation then translation reflection then reflection translation then reflection

Explanation:

Step1: Analyze fig.1 to fig.2

The orientation of the figure changes. The points of fig.1 are mirrored across a line (the vertical line \(k\)) to get fig.2, which is a reflection.

Step2: Analyze fig.2 to fig.3

The shape of fig.2 moves down - ward without changing its orientation or shape. This is a translation.

Answer:

REFLECTION then TRANSLATION