To reflect the trapezoid $ABCD$ over the y-axis, we need to follow a simple rule for reflection over the y-axis. Each point $(x, y)$ is reflected to the point $(-x, y)$. Let's reflect each of the vertices of the trapezoid over the y-axis.

Current Coordinates of Trapezoid ABCD:

• $A(1, 2)$
• $B(5, 2)$
• $C(6, -1)$
• $D(1, -1)$

Reflected Coordinates:

• $A'(-1, 2)$
• $B'(-5, 2)$
• $C'(-6, -1)$
• $D'(-1, -1)$

So, the reflected trapezoid has the following vertices:

• $A'(-1, 2)$
• $B'(-5, 2)$
• $C'(-6, -1)$
• $D'(-1, -1)$

Would you like me to plot this reflection or provide more details on the reflection process?

Here are 5 questions related to reflection and transformations:

1. What are other types of transformations besides reflection?
2. How do you reflect a shape over the x-axis?
3. What changes when you reflect a shape over the origin?
4. How can we use matrix operations for geometric reflections?
5. What are the properties of a trapezoid, and do they change under reflection?

Tip: When reflecting a shape, only the coordinates that lie along the axis of reflection stay unchanged.