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 rigid - transformations

Rigid transformations include rotations and reflections. Rotation is turning a figure around a point and reflection is flipping a figure over a line.

Step2: Check rotation about point B

A rotation about point B will not map △ABC to △EDC as the orientation and position of the triangles relative to point B do not match for a rotation to be the correct transformation.

Step3: Check reflection across line containing CB

If we reflect △ABC across the line containing CB, point A will not map to point E in the correct way to form △EDC.

Step4: Check reflection across line containing AC

If we reflect △ABC across the line containing AC, the points and sides of the triangle will not be in the correct position to form △EDC.

Step5: Check rotation about point C

If we rotate △ABC counter - clockwise about point C, we can map △ABC to △EDC. The angles and side - lengths will match up correctly under this rotation.

Answer:

a rotation about point C