Question

the triangles shown are congruent by the sss congruence theorem
the diagram shows the sequence of three rigid transformations used to map \\( \triangle abc \\) onto \\( \triangle a^{\prime \prime} b^{\prime \prime} c^{\prime \prime} \\). 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 orientation change. A rotation is needed to adjust the initial position.
• Then, a reflection flips the figure appropriately.
• Finally, a translation moves the figure to the final position.

Answer:

rotation, then reflection, then translation