Question

triangle abc is congruent to triangle abc. describe a sequence of rigid motions that takes a to a, b to b, and c to c.

Explanation:

Step1: Translate point A to A'

Translate triangle ABC so that point A coincides with point A'.

Step2: Rotate around A'

Rotate the translated triangle around point A' until point B coincides with point B'.

Step3: Reflect if necessary

If point C does not coincide with point C' after translation and rotation, perform a reflection across an appropriate line (if needed) so that point C coincides with point C'.

Answer:

First, translate triangle ABC so that A coincides with A'. Then, rotate the translated triangle around A' until B coincides with B'. If needed, perform a reflection to make C coincide with C'.