https://file.aiquickdraw.com/mathbot/file/17296174054448xsumfqf.jpg

The question asks for the coordinates of point \( B \) after the shape is reflected over the \( y \)-axis.

### Step-by-step solution:

1. **Coordinates of Point B**: The original coordinates of point \( B \) are \( (2, 5) \).

2. **Reflection Over the \( y \)-axis**:
   - When reflecting a point over the \( y \)-axis, the \( x \)-coordinate changes its sign, while the \( y \)-coordinate remains the same.
   - Therefore, the reflection of point \( (x, y) \) over the \( y \)-axis will be \( (-x, y) \).

3. **Apply the Reflection**:
   - The \( x \)-coordinate of \( B \) is 2, so after reflecting over the \( y \)-axis, it becomes \( -2 \).
   - The \( y \)-coordinate remains 5.

4. **Result**: The new coordinates of the vertex that point \( B \) maps to are \( (-2, 5) \).

Would you like more details on the reflection process or have any other questions?

Here are five related questions for further practice:
1. What are the coordinates of the vertex at \( (1, 3) \) after reflecting over the \( y \)-axis?
2. How would the shape look if reflected over the \( x \)-axis instead?
3. What happens to the coordinates if the shape is rotated 180 degrees about the origin?
4. What are the coordinates of point \( B \) after translating it 3 units to the left?
5. How would the reflection change if we reflected over the line \( x = 1 \)?

**Tip**: When reflecting over the \( y \)-axis, only the sign of the \( x \)-coordinate changes, while the \( y \)-coordinate stays the same.

The shape below is reflected in the y-axis. What are the coordinates of the vertex that B maps to after this reflection?

Discover how to reflect a point over the y-axis with a step-by-step solution to find the new coordinates of point B. This problem involves geometry and transformations, and is suitable for students in Grades 6-8.

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