If triangle RST is rotated 180° about the origin, and then
translated up 3 units, the congruency statement that describes the figures is RST ≅ BCA
Transformation techiniques
The transformation applied to the given figure is both translation and rotation.
The translation is a technique used to change the position of an object on an xy plane.
From the given figure, the vertices of the triangle are translates in the order RST to BCA. These vertices of RST are matched with the corresponding vertices on ABC.
Hence if triangle RST is rotated 180° about the origin, and then
translated up 3 units, the congruency statement that describes the figures is RST ≅ BCA
Learn more on translation here: https://brainly.com/question/12861087