The image shows two shapes, A and B, reflected across a line on the coordinate plane. To find the equation of the line across which shape A is reflected to form shape B, we need to determine which line creates this reflection.

Looking at the graph:

• Shape A is located below the x-axis, while shape B is located above the x-axis.
• The reflection appears to be over the x-axis, as the relative positioning of the two shapes suggests a vertical flip.

Thus, the line of reflection is the x-axis, which has the equation:

$y = 0$

The completed sentence would be:
"Shape B is a reflection of shape A in the line with equation y = 0."

Would you like any further details or clarification?

5 Related Questions:

1. What is the general formula for reflecting a point over the x-axis?
2. How would the reflection change if it were over the y-axis instead?
3. Can you explain how to reflect a shape over any arbitrary line?
4. What is the process for determining the line of reflection between two shapes?
5. How would a reflection differ from a rotation or translation?

Tip:

When reflecting a shape across a line, the line of reflection acts like a mirror, meaning every point on the shape has a corresponding point on the reflected shape, equidistant from the mirror line.