Question

what single rigid transformation maps △abc → △edc? (1 point) rotation translation dilation reflection

Explanation:

Step1: Recall rigid - transformation types

Rigid transformations include rotation, translation, and reflection. Dilation is not a rigid transformation as it changes the size of the figure.

Step2: Analyze the orientation of the triangles

Translation moves a figure without changing its orientation. Here, the orientation of $\triangle ABC$ and $\triangle EDC$ is different, so it's not a translation.

Step3: Check for reflection

If it were a reflection, there would be a line of reflection. But observing the vertices' positions, there is no obvious line of reflection that would map $\triangle ABC$ to $\triangle EDC$.

Step4: Consider rotation

The common vertex is $C$. By rotating $\triangle ABC$ about point $C$, we can map it to $\triangle EDC$. The angles at $C$ are equal (vertically - opposite angles), and the side - length relationships are consistent with a rotation.

Answer:

rotation