Question

△abc is transformed to create △def. what sequence of transformations maps one to the other?

Explanation:

Step1: Analyze orientation change

The orientation of $\triangle ABC$ is reversed in $\triangle DEF$. A $180^{\circ}$ rotation about the origin changes the orientation of a figure.

Step2: Check coordinates

If we rotate $\triangle ABC$ 180° about the origin, the coordinates of the vertices of $\triangle ABC$ will be transformed in a way that matches the relative position of $\triangle DEF$. For example, if a point $(x,y)$ in $\triangle ABC$ is rotated 180° about the origin, it becomes $(-x,-y)$.

Answer:

Rotate 180° about the origin