Question

which transformation maps quadrilateral efgh to quadrilateral qrsp?
○ dilation
○ reflection
○ rotation
○ translation

Explanation:

To determine the transformation mapping quadrilateral \( EFGH \) to \( QRSP \), we analyze each option:

• Dilation: Changes size, but the figures appear congruent (same side markings), so not dilation.
• Reflection: Flips over a line, but the orientation change here is more consistent with rotation.
• Rotation: The figures have a rotational relationship (angles and sides match after rotating around a point). The orientation (e.g., right angles, side markings) aligns with a rotation.
• Translation: Slides without rotation/reflection, but the orientation of \( EFGH \) and \( QRSP \) shows a rotational change, not just a slide.

So the transformation is rotation.

Answer:

rotation (the option corresponding to "rotation" among the choices)