Given triangle $△\mathrm{QRS}$ is mapped onto triangle $△Q^{\text{'}}{R}^{\text{'}}{S}^{\text{'}}$, which type of transformation could map $△\mathrm{QRS}$ to $△Q^{\text{'}}{R}^{\text{'}}{S}^{\text{'}}$?

• A. Translation
• B. Rotation
• C. Dilation
• D. Reflection

Answer: (A)

Verified step by step guidance

1. Understand that a transformation maps one figure onto another by changing its position, size, or orientation.
2. Recall the definitions of the given transformations: Translation moves the figure without rotating or resizing it; Rotation turns the figure around a point; Reflection flips the figure over a line; Dilation changes the size of the figure while preserving shape.
3. Since the problem asks which transformation could map triangle \( \triangle QRS \) onto \( \triangle Q'R'S' \), consider whether the size and shape remain the same or change.
4. If the triangles are congruent (same size and shape) but in different positions, the transformation could be a Translation, Rotation, or Reflection.
5. If the triangles differ in size, then Dilation is involved. To identify the correct transformation, analyze the position, orientation, and size of \( \triangle Q'R'S' \) relative to \( \triangle QRS \).