https://file.aiquickdraw.com/mathbot/file/1725478515406s1z1retr.jpg

The image shows a geometric problem involving a circle with various labeled points and line segments. The task is to name certain elements of the circle, such as radii, chords, and secants.

Here’s a breakdown of the elements:

### 1. **Radii**:
   - **Definition**: A radius is a line segment from the center of the circle to any point on the circle.
   - **In the image**: The center of the circle is labeled as \( O \). The radii are \( OR \), \( OM \), and \( ON \).

### 2. **Chords**:
   - **Definition**: A chord is a line segment with both endpoints on the circle.
   - **In the image**: The chords are \( MN \), \( PQ \), and \( RT \).

### 3. **Secants**:
   - **Definition**: A secant is a line that intersects the circle at two points.
   - **In the image**: The secants are \( MT \) and \( PS \).

### Complete Answers:
- **All Radii**: \( OR \), \( OM \), \( ON \)
- **All Chords**: \( MN \), \( PQ \), \( RT \)
- **All Secants**: \( MT \), \( PS \)

Would you like any further details or explanations on this problem? Here are five related questions you might find helpful:

1. What is the difference between a secant and a tangent?
2. How can you calculate the length of a chord in a circle?
3. What is the relationship between a radius and a tangent at the point of contact?
4. How do you find the midpoint of a chord using the radius?
5. Can you name a situation where a secant becomes a tangent?

**Tip**: Remember, in any circle, the perpendicular from the center to a chord bisects the chord.

Name all radii, chords, and secants in the given circle diagram.

This problem teaches students how to identify radii, chords, and secants in a circle. It provides a detailed breakdown of these geometric elements with labeled points and segments in a diagram. Suitable for Grades 6-9 students studying circles and basic geometry.

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