Question

which diagram shows quadrilateral tuvw rotated 60° counterclockwise about e?

Explanation:

Step1: Recall Rotation Properties

A counterclockwise rotation about a point \( E \) means each vertex of quadrilateral \( TUVW \) ( \( T, U, V, W \)) is rotated \( 60^\circ \) around \( E \). The distance from each vertex to \( E \) should remain the same (rotation preserves distance), and the angle between \( \overline{EX} \) (where \( X \) is a vertex) and \( \overline{EX'} \) (its image) should be \( 60^\circ \) counterclockwise.

Step2: Analyze the Diagrams

• For a \( 60^\circ \) counterclockwise rotation about \( E \), the image of each vertex (e.g., \( U' \) for \( U \), \( T' \) for \( T \), etc.) should form a \( 60^\circ \) angle with the original vertex relative to \( E \).
• Check the first diagram: The orange quadrilateral \( T'U'V'W' \) (assuming labels) should have each vertex rotated \( 60^\circ \) counterclockwise from \( TUVW \) around \( E \). The position of \( E \) on \( \overline{VU} \) (or relevant segment) and the angles between original and image segments (e.g., \( \angle UEU' \), \( \angle VEV' \)) should be \( 60^\circ \). The first diagram likely shows the correct rotation as the image vertices are positioned with the correct counterclockwise \( 60^\circ \) rotation relative to \( E \), preserving distances and angle of rotation. Other diagrams may show clockwise or incorrect angle rotations.

Answer:

The top diagram (the first one shown)