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 can observe that the orientation of $\triangle ABC$ changes in a way that suggests a rotation to get to an intermediate - stage triangle. A rotation changes the direction in which the triangle is facing.

Step2: Analyze the mirror - like change

After the rotation, there is a mirror - like change in the position of the triangle, which is characteristic of a reflection. A reflection flips the triangle across a line.

Step3: Analyze the position shift

Finally, the triangle is moved to a new position without changing its orientation or shape further, which is a translation. A translation moves the triangle from one location to another.

Answer:

rotation, then reflection, then translation