Question

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which rigid transformations can you use to map figure c onto figure d? choose all that apply. translation reflection rotation

Explanation:

• Translation: A translation moves a figure without rotating or reflecting it. But figure \(C\) and \(D\) are not in the same orientation (the top - part of \(C\) is a "peak" and the top - part of \(D\) is a "valley" in terms of the non - rectangular part), so translation alone won't work.
• Reflection: If we consider a horizontal line of reflection (say, between the two figures), a reflection can flip figure \(C\) over a horizontal line to get a figure that has the same shape as \(D\) but in the opposite orientation (top - bottom).
• Rotation: A \(180^{\circ}\) rotation (around a point, for example, the mid - point between the two figures) can map figure \(C\) onto figure \(D\). When we rotate a figure \(180^{\circ}\), the relative positions of the vertices change in a way that can match the orientation of \(D\) from \(C\).

Answer:

Reflection, Rotation