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 first transformation

We can observe that $\triangle ABC$ first flips over a line to get $\triangle A'B'C'$. This is a reflection.

Step2: Analyze the second transformation

After the reflection, $\triangle A'B'C'$ is turned around a point to get to an intermediate - position. This is a rotation.

Step3: Analyze the third transformation

Finally, the triangle is moved from the intermediate - position to $\triangle A''B''C''$ without changing its orientation. This is a translation.

Answer:

reflection, then rotation, then translation