Question

what are the series of rigid motions that would map bac onto bac? a reflection followed by a translation a translation followed by a reflection a reflection followed by a rotation a translation followed by a rotation

Explanation:

Step1: Analyze the position of the triangles

First, observe the orientation of the triangles. The smaller triangle (pre - image) and the larger triangle (image) have a mirror - like relationship (reflection aspect).

Step2: Analyze the movement of the triangles

Then, note that after the reflection (to get the orientation right in a sense), there is a shift (translation) to map one triangle onto the other. A rotation would change the orientation in a circular way which is not the case here. A translation followed by a reflection would not align the triangles as shown. A reflection followed by a rotation would change the orientation more than just the mirror - like and shift.

Answer:

a reflection followed by a translation