Question

the triangles shown are congruent by the sss congruence theorem. the diagram shows the sequence of three rigid transformations used to map △abc onto △a\b\c\. 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

Explanation:

Step1: Analyze the orientation change

First, we can observe that there is a change in the orientation of the triangle which is typically achieved by rotation.

Step2: Analyze the mirror - like change

Then, there is a mirror - like change in the position of the triangle which is due to reflection.

Step3: Analyze the position shift

Finally, there is a shift in the position of the triangle which is a translation.

Answer:

rotation, then reflection, then translation