Question

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

Explanation:

• Dilation: Changes the size of a figure. But the two quadrilaterals \(EFGH\) and \(QRSP\) seem to be of the same size (corresponding sides are marked as equal), so dilation is not the answer.
• Reflection: Flips a figure over a line. If we assume a vertical line of reflection (for example), the orientation of the angles and side - length markings (congruent markings) can match.
• Rotation: Turns a figure around a point. A rotation would change the relative position of the vertices in a rotational - sense (e.g., if we rotate a figure \(90^{\circ}\), the order of vertices around the figure changes in a rotational way which is not observed here).
• Translation: Slides a figure. A translation would keep the same orientation (e.g., if a figure has vertices in clock - wise order \(E - F - G - H\), after translation it would still have the same clock - wise order. But here, the order of vertices (when considering congruent side and angle markings) is more consistent with a reflection.

Answer:

reflection