the triangles shown are congruent by the sss congruence theorem. the diagram shows the sequence of three…

the triangles shown are congruent by the sss congruence theorem. 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 translation, then reflection, then rotation translation, then rotation, then reflection

the triangles shown are congruent by the sss congruence theorem. 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 translation, then reflection, then rotation translation, then rotation, then reflection

Answer

Answer:

rotation, then translation, then reflection

Explanation:

Step1: Observe the orientation change

First, a rotation is needed to align the orientation of $\triangle ABC$ with $\triangle A'B'C'$.

Step2: Notice the position shift

After rotation, a translation is used to move the rotated triangle to the general position of $\triangle A'B'C'$.

Step3: Account for final - alignment

Finally, a reflection is applied to perfectly map $\triangle ABC$ onto $\triangle A'B'C'$.