What will be the reflection of the point (4, 5) in the second quadrant?
(a) (- 4, -5)
(b)(-4,5)
(c)(4,-5)
(d)None of these

Options

A. (- 4, -5)
B. (-4,5)
C. (4,-5)
D. None of these

Answer

To find the reflection of the point (4, 5) in the second quadrant, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Original Point**:
The given point is (4, 5). This point is located in the first quadrant of the Cartesian plane.

2. **Understand the Reflection**:
When reflecting a point across the y-axis, the x-coordinate changes sign, while the y-coordinate remains the same.

3. **Calculate the Reflection**:
- The x-coordinate of the original point (4) will change to its negative, which is -4.
- The y-coordinate (5) remains unchanged.

Therefore, the reflection of the point (4, 5) is (-4, 5).

4. **Determine the Quadrant**:
The point (-4, 5) lies in the second quadrant, as the x-coordinate is negative and the y-coordinate is positive.

5. **Choose the Correct Option**:
From the given options:
(a) (-4, -5)
(b) (-4, 5)
(c) (4, -5)
(d) None of these

The correct reflection is (-4, 5), which corresponds to option (b).

### Final Answer:
The reflection of the point (4, 5) in the second quadrant is **(b) (-4, 5)**.