Let's solve each part of the worksheet step by step. We are asked to
name and
define each marked part in the given circles.
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1. First Circle: PQ
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Diagram: A line segment from point P on the circle to point Q on the circle, passing through the center.
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Name of the part: Diameter
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Definition: A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord in a circle.
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2. Second Circle: XY
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Diagram: A line segment from point X on the circle to point Y on the circle, not passing through the center.
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Name of the part: Chord
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Definition: A chord is a line segment whose endpoints lie on the circle. It does not necessarily pass through the center.
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3. Third Circle: VW
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Diagram: A line segment from point V outside the circle to point W on the circle, touching the circle at one point (W), and extending beyond.
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Name of the part: Tangent
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Definition: A tangent is a line that touches the circle at exactly one point (called the point of tangency). Here, VW is a tangent segment from an external point V to the point of tangency W.
> Note: The segment shown is
VW, which starts from outside the circle and touches it at W — this is called a
tangent segment.
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4. Fourth Circle: AB
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Diagram: A straight line that touches the circle at only one point C (point of contact).
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Name of the part: Tangent Line
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Definition: A tangent line is a straight line that touches the circle at exactly one point. AB is a tangent line to the circle at point C.
> Note: While AB is the full line, the segment AC or BC would be tangent segments. But since AB is labeled as a line extending beyond the circle, it's best described as a
tangent line.
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5. Fifth Circle: PR
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Diagram: A line segment from the center R to a point P on the circle.
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Name of the part: Radius
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Definition: A radius is a line segment from the center of the circle to any point on the circle.
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6. Sixth Circle: O
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Diagram: A single dot labeled O inside the circle.
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Name of the part: Center
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Definition: The center is the fixed point inside the circle that is equidistant from all points on the circle.
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✔ Final Answers:
| Diagram | Name of the part | Definition of the part |
|--------|------------------|------------------------|
| PQ | Diameter | A line segment passing through the center with endpoints on the circle. |
| XY | Chord | A line segment with both endpoints on the circle. |
| VW | Tangent Segment | A segment from an external point to the point where it touches the circle. |
| AB | Tangent Line | A line that touches the circle at exactly one point. |
| PR | Radius | A line segment from the center to a point on the circle. |
| O | Center | The fixed point inside the circle equidistant from all points on the circle. |
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✔ This completes the vocabulary exercise for parts of a circle. Let me know if you'd like this formatted for printing!
Parent Tip: Review the logic above to help your child master the concept of circle worksheets.
