Question

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

Explanation:

Step1: Analyze Translation

Translation moves a figure without rotation or reflection. Observing the orientation of figure \(C\) and \(D\), their orientations are different. So translation alone cannot map \(C\) to \(D\).

Step2: Analyze Reflection

Reflection flips a figure over a line. If we consider a horizontal line of reflection (for example, between the two figures), the shape and size are preserved (rigid transformation). But the orientation change in \(C\) and \(D\) is not just a reflection - rotation is also involved.

Step3: Analyze Rotation

Rotation turns a figure around a point. If we rotate figure \(C\) \(180^{\circ}\) (a rigid transformation that preserves shape and size) about a suitable point (e.g., the mid - point between the two figures in the vertical direction), we can map \(C\) to \(D\).

Answer:

Rotation