Is every chord of a circle also a diameter?

Answer

To determine if every chord of a circle is also a diameter, we need to understand the definitions of both terms:

1. **Definition of a Chord**: A chord is a line segment whose endpoints both lie on the circle. This means that any line segment connecting two points on the circumference of the circle is a chord.

2. **Definition of a Diameter**: A diameter is a specific type of chord that passes through the center of the circle. It is the longest chord in the circle, and it divides the circle into two equal halves.

Now, let's analyze the question step by step:

### Step 1: Understand the Circle
- Draw a circle and identify its center. Label the center as point O.

**Hint**: Remember that the center is the point that is equidistant from all points on the circumference of the circle.

### Step 2: Identify a Chord
- Draw a line segment AB that connects two points on the circumference of the circle. This line segment is a chord.

**Hint**: Ensure that both endpoints A and B are on the circle's boundary.

### Step 3: Identify a Diameter
- Now, draw another line segment CD that also connects two points on the circumference but passes through the center O of the circle. This line segment is a diameter.

**Hint**: The diameter must pass through the center of the circle and touch the circumference at two points.

### Step 4: Compare Chords and Diameters
- Observe that while both chords and diameters have endpoints on the circle, the key difference is that a diameter must pass through the center of the circle, while a chord does not need to.

**Hint**: Think of it this way: all diameters are chords, but not all chords are diameters.

### Conclusion
- Therefore, the answer to the question "Is every chord of a circle also a diameter?" is **No**.

**Final Answer**: No, every chord of a circle is not a diameter because a diameter specifically passes through the center of the circle, while a chord does not necessarily do so.