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:

• First, observe the position of \(\triangle ABC\) and \(\triangle A'B'C'\). The orientation of the triangle changes in a rotational - like manner. Rotation changes the orientation of a figure around a fixed point.
• Then, after rotation, the figure is moved (translation). Translation is a slide of a figure without changing its shape, size or orientation.
• Finally, the figure is flipped (reflection). Reflection is a flip of a figure over a line.

Answer:

rotation, then translation, then reflection