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 with the same tick - marks), so dilation is not the answer.
• Reflection: Flips a figure over a line. There is no indication of a line of reflection that would map \(EFGH\) to \(QRSP\) based on the orientation of angles and sides (the "flow" of the quadrilateral is not a mirror - image).
• Translation: Slides a figure without rotation or reflection. The orientation of the angles (e.g., the right - angles and the other marked angles) in \(EFGH\) and \(QRSP\) is different. For example, if we consider the order of vertices \(E - F - G - H\) and \(Q - R - S - P\), a translation would keep the orientation (like a 'grid - slide') of the figure, but here the orientation of the figure (in terms of angle - vertex connection) is changed as if it was turned.
• Rotation: Turns a figure around a point. When we rotate a figure, the size remains the same (matching tick - marks for sides), and the relative position of angles (e.g., the right - angles and the other congruent angles) can change in the way shown in the two quadrilaterals \(EFGH\) and \(QRSP\).

Answer:

rotation