Here’s the solution to the “Circle Vocabulary” worksheet, with clear explanations for each term:
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1. The point in the middle of a circle is
✔ Center
> *Explanation:* The center is the exact midpoint of the circle. All points on the circle are equidistant from this point.
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2. An extended chord that cuts the circle at two distinct points is
✔ Secant
> *Explanation:* A secant line intersects the circle at exactly two points. It’s like a chord that extends beyond the circle on both ends.
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3. The line segment whose endpoints lie on the circle is
✔ Chord
> *Explanation:* A chord is any straight line segment connecting two points on the circumference. It does not necessarily pass through the center.
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4. The connected section of the circumference is
✔ Arc
> *Explanation:* An arc is a portion or segment of the circle’s circumference. It can be minor (less than half) or major (more than half).
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5. The line segment whose endpoints lie on the circle and that passes through the center is
✔ Diameter
> *Explanation:* A diameter is a special type of chord that goes through the center. It’s the longest possible chord and equals twice the radius.
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6. A line that touches the circumference of a circle at a point is
✔ Tangent
> *Explanation:* A tangent line touches the circle at exactly one point and is perpendicular to the radius at that point.
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7. The line that joins the center of the circle to the outer boundary is
✔ Radius
> *Explanation:* The radius is the distance from the center to any point on the circle. All radii in a circle are equal in length.
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8. A region bounded by two radii of equal length with a common center is
✔ Sector
> *Explanation:* A sector is like a “slice” of the circle, formed by two radii and the arc between them (e.g., like a pizza slice).
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✔ Final Answers:
1. Center
2. Secant
3. Chord
4. Arc
5. Diameter
6. Tangent
7. Radius
8. Sector
Let me know if you’d like a diagram or mnemonic to remember these terms!
Parent Tip: Review the logic above to help your child master the concept of identify parts of a circle worksheet.