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 △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

Explanation:

Step1: Observe initial movement

First, we can see that the triangle is shifted in position without change in orientation. This is a translation.

Step2: Notice orientation change

Then, the triangle's orientation changes around a point, which is a rotation.

Step3: Observe mirror - like change

Finally, the triangle appears as a mirror - image of its previous state, which is a reflection.

Answer:

translation, then rotation, then reflection