The question is asking to reflect triangle $ABC$ with vertices $A(0, 2)$, $B(2, 2)$, and $C(2, 0)$ across the x-axis and to draw both triangle $ABC$ and its image $A'B'C'$.

Reflection across the x-axis

To reflect a point across the x-axis, we change the sign of the y-coordinate, keeping the x-coordinate the same. Thus:

• The reflection of point $A(0, 2)$ is $A'(0, -2)$.
• The reflection of point $B(2, 2)$ is $B'(2, -2)$.
• The reflection of point $C(2, 0)$ is $C'(2, 0)$ (since its y-coordinate is already 0, it doesn't change).

Plotting the points

Now we have the following vertices:

• Original points: $A(0, 2)$, $B(2, 2)$, $C(2, 0)$
• Reflected points: $A'(0, -2)$, $B'(2, -2)$, $C'(2, 0)$

Would you like me to draw the two triangles and their reflection for you?