Question

which rigid transformation would map △abc to △edc? a rotation about point b a reflection across the line containing (overline{cb}) a reflection across the line containing (overline{ac}) a rotation about point c

Explanation:

Step1: Analyze rotation about point B

A rotation about point B will not map △ABC to △EDC as the orientation and position - relationship of the triangles with respect to point B do not match for a rotation.

Step2: Analyze reflection across line CB

If we reflect △ABC across the line containing $\overline{CB}$, the points A and E, and D and B will not be in the correct corresponding positions.

Step3: Analyze reflection across line AC

If we reflect △ABC across the line containing $\overline{AC}$, the points and sides of the two triangles will not match up correctly.

Step4: Analyze rotation about point C

We can see that ∠ACB = ∠DCE. By rotating △ABC about point C, we can map △ABC to △EDC. The lengths of the corresponding sides are equal and the angles are congruent, and a rotation about point C will align the two triangles.

Answer:

a rotation about point C