Will two diameters of a circle always intersect?

Answer

To determine whether two diameters of a circle always intersect, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of a Diameter**:
A diameter of a circle is a straight line that passes through the center of the circle and connects two points on the circumference.

2. **Draw a Circle**:
Start by drawing a circle. Mark the center of the circle as point O.

3. **Draw the First Diameter**:
Choose two points on the circumference of the circle, let's call them A and B. Draw a straight line segment connecting points A and B through the center O. This line segment AB is the first diameter.

4. **Draw the Second Diameter**:
Now, choose another pair of points on the circumference, say C and D, such that the line segment CD also passes through the center O. Draw this line segment. This is the second diameter.

5. **Analyze the Intersection**:
Since both diameters (AB and CD) pass through the center O, they will intersect at point O.

6. **Conclusion**:
Therefore, we can conclude that any two diameters of a circle will always intersect at the center of the circle.

### Final Answer:
Yes, two diameters of a circle will always intersect at the center of the circle.

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