Question

the triangles are congruent by sss or hl. the diagram shows the sequence of three rigid transformations used to map △abc onto △abc. what is the sequence of the transformations? rotation, then reflection, then translation rotation, then translation, then reflection reflection, then translation, then rotation reflection, then rotation, then translation

Explanation:

Step1: Analyze the orientation change

First, we need to align the orientation of the triangles. A rotation can be used to change the orientation of $\triangle ABC$ to match the general orientation of $\triangle A'B'C'$.

Step2: Analyze the position - change after rotation

After rotating, the triangles are still not in the same position. A reflection can be used to flip the rotated $\triangle ABC$ to the correct side - by - side position relative to $\triangle A'B'C'$.

Step3: Analyze the final position adjustment

Finally, a translation is needed to move the reflected and rotated $\triangle ABC$ exactly onto $\triangle A'B'C'$.

Answer:

rotation, then reflection, then translation