A diameter of a circle is a chord that………the centre.

Options

A. is away from
B. do not pass through
C. passes through
D. None of the above

Answer

To solve the question "A diameter of a circle is a chord that………the centre," we need to fill in the blank with the appropriate term. Let's go through the steps to arrive at the answer.

### Step-by-Step Solution:

1. **Understanding the Definitions**:
- A **circle** is defined as the set of all points that are equidistant from a fixed point called the **center**.
- A **diameter** is a special type of chord that passes through the center of the circle.
- A **chord** is any line segment with both endpoints on the circle.

2. **Identifying the Relationship**:
- Since a diameter is a type of chord, we need to understand that not all chords pass through the center. However, the diameter specifically does.

3. **Filling in the Blank**:
- The statement is: "A diameter of a circle is a chord that ______ the center."
- Since we know that a diameter must go through the center of the circle, we can fill in the blank with the word "passes through".

4. **Final Answer**:
- Therefore, the complete statement is: "A diameter of a circle is a chord that **passes through** the center."