H.12 Sequences of congruence transformations: graph the image WHW Graph the image of trapezoid $V W X Y$ after the following sequence of transformations: Rotation $90^{\circ}$ counterclockwise around the origin Reflection across the line $y=1$

Step 1 ：Define the coordinates of the vertices of trapezoid \( V W X Y \): \( V = (1, 2) \), \( W = (2, 3) \), \( X = (3, 3) \), \( Y = (4, 2) \)

Step 2 ：Apply a \( 90^{\circ} \) counterclockwise rotation around the origin to each vertex: \( V_{\text{rotated}} = (-2, 1) \), \( W_{\text{rotated}} = (-3, 2) \), \( X_{\text{rotated}} = (-3, 3) \), \( Y_{\text{rotated}} = (-2, 4) \)

Step 3 ：Reflect the rotated vertices across the line \( y=1 \): \( V_{\text{reflected}} = (-2, 1) \), \( W_{\text{reflected}} = (-3, 0) \), \( X_{\text{reflected}} = (-3, -1) \), \( Y_{\text{reflected}} = (-2, -2) \)

Step 4 ：The image of trapezoid \( V W X Y \) after the transformations is a trapezoid with vertices at \( (-2, 1) \), \( (-3, 0) \), \( (-3, -1) \), and \( (-2, -2) \)

Step 5 ：Graph the transformed trapezoid with vertices \( (-2, 1) \), \( (-3, 0) \), \( (-3, -1) \), and \( (-2, -2) \)

Step 6 ：\( \boxed{(-2, 1), (-3, 0), (-3, -1), (-2, -2)} \)