Final answer:
To map congruent triangles UVW onto ABC, the correct sequence of transformations is Reflection, Translation, and Rotation, which is option (d). It is crucial to apply these transformations in a specific order to ensure the triangles are mapped onto each other correctly.
Step-by-step explanation:
The question asks us to determine which sequence of transformations maps triangle UVW onto triangle ABC, given that the two triangles are congruent. Congruent triangles can be mapped onto each other using a series of rigid motions, which include reflections, rotations, and translations. These transformations preserve the size and shape of figures.
The order in which these transformations are applied can affect the final position of the figure. Since UVW and ABC are congruent, we can map one onto the other by applying these transformations in a suitable order. The correct order should place UVW exactly where ABC is, taking into consideration orientation and position.
The correct sequence of transformations is Reflection, Translation, Rotation (d), although in some cases, fewer than three transformations may be sufficient to map one figure onto the other if they are already in similar positions.
In conclusion, the correct sequence of transformations to map triangle UVW onto triangle ABC, as per the given options, is Reflection, followed by Translation, and then Rotation. Therefore, the correct answer is option (d).