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. There is no indication of a line - of - reflection in the problem description or visual (if we assume the problem is about congruent figures without a flip).
• Translation: Slides a figure. Translation preserves the orientation of the figure. The orientation of \(EFGH\) (e.g., the order of vertices \(E - F - G - H\) and their angles) is different from the orientation of \(QRSP\) (vertices \(Q - R - S - P\)) in a non - translational way.
• Rotation: Turns a figure around a point. When a figure is rotated, its shape, size remain the same (congruent) and the relative positions of the vertices change in a rotational manner. Since \(EFGH\) and \(QRSP\) are congruent (corresponding sides and angles are equal as marked) and the orientation is changed in a rotational - like fashion (not a slide or a flip in the sense of reflection), rotation is the transformation.

Answer:

rotation