The post office is to the east of the school while my house is to the South of the school. The market is to the North of the post office. If the distance of the market from the post office is equal to the distance of my house from the school, in which direction is the market with respect to my school ?

Explanation

To solve the problem step by step, we can visualize the positions of the school, post office, house, and market based on the given directions.

### Step 1: Identify the positions
1. **School**: Let's denote the position of the school as point S.
2. **Post Office**: The post office is to the east of the school. Therefore, we can denote the position of the post office as point P, which is to the right of point S.
3. **House**: The house is to the south of the school. We can denote the position of the house as point H, which is below point S.
4. **Market**: The market is to the north of the post office. Therefore, we can denote the position of the market as point M, which is above point P.

### Step 2: Establish the distances
- Let the distance from the school (S) to the house (H) be denoted as d.
- According to the problem, the distance from the post office (P) to the market (M) is also equal to d.

### Step 3: Visualize the layout
- We can visualize the layout as follows:
- S (School)
- P (Post Office) is to the east of S.
- H (House) is to the south of S.
- M (Market) is to the north of P.

### Step 4: Determine the direction of the market with respect to the school
- Since the market (M) is directly north of the post office (P), and the post office (P) is east of the school (S), we can conclude the following:
- From the school (S) to the post office (P) is east.
- From the post office (P) to the market (M) is north.

To find the direction of the market (M) with respect to the school (S), we can visualize the path:
- Starting from S (School) to P (Post Office) is east.
- Then from P (Post Office) to M (Market) is north.

### Conclusion
- Therefore, the market (M) is located to the **northeast** of the school (S).