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 initial movement

First, we can observe that the overall position of the triangle changes without change in orientation initially. This is a translation.

Step2: Analyze the orientation - change

Then, the triangle changes its orientation around a point. This is a rotation.

Step3: Analyze the final transformation

Finally, the triangle is flipped over a line. This is a reflection.

Answer:

translation, then rotation, then reflection