Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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### Question:
Point L is on line segment \( \overline{KM} \). Given \( LM = 2 \) and \( KM = 19 \), determine the length \( KL \).
#### Answer Box:
\[ KL = \ \boxed{} \]
[Submit Answer]
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### Explanation for Educators:
**Concepts Involved:**
- **Geometry:** Understanding of line segments and how to determine lengths using given measurements.
**Detailed Solution:**
1. **Understand the Problem:**
- We have a line segment \( \overline{KM} \) with point L somewhere on it.
- We know the total length of \( \overline{KM} \) is 19 units.
- We also know the length \( \overline{LM} \) is 2 units.
2. **Relationship Between Segments:**
- The sum of the parts of the line segment equals the total length:
\[
KL + LM = KM
\]
3. **Substitute Known Values:**
- \( KL \) is the unknown part.
- Thus,
\[
KL + 2 = 19
\]
4. **Solve the Equation:**
- Subtract 2 from both sides:
\[
KL = 19 - 2 = 17
\]
5. **Conclusion:**
- The length \( KL \) is **17 units**.
This problem helps students practice basic line segment addition and subtraction concepts. Use this opportunity to explain how parts of a whole add to the total length and ensure students understand how to set up and solve simple linear equations.
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