H.12 Sequences of congruence transformations: graph the image WHW
Graph the image of trapezoid $VWXY$ 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 $VWXY$: $V=(1,2)$, $W=(2,3)$, $X=(3,3)$, $Y=(4,2)$

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 $VWXY$ 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 ：$\boxed{{\displaystyle (-2,1),(-3,0),(-3,-1),(-2,-2)}}$