https://file.aiquickdraw.com/mathbot/file/1727087259928rx2ah82o.jpg

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.

Shape B is a reflection of shape A in the line with equation __?

In this geometry problem, Shape B is a reflection of Shape A across the x-axis. The equation of the reflection line is determined using the properties of reflections in coordinate geometry, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation