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1. given circle o and circle p, match the part of the circle with the c…

Question

  1. given circle o and circle p, match the part of the circle with the correct term. radius tangent chord diameter drag gable item category

Explanation:

Step1: Recall definitions

  • Radius: A line segment from the center of a circle to a point on the circle.
  • Tangent: A line that touches the circle at exactly one point.
  • Chord: A line segment with both endpoints on the circle.
  • Diameter: A chord that passes through the center of the circle.

Step2: Analyze each segment

  • $\overline{WO}$: Connects the center \(O\) of the circle to a point \(W\) on the circle. By the definition of radius, it is a radius.
  • $\overleftrightarrow{WC}$: Touches the circle \(O\) at exactly one point \(W\). By the definition of tangent, it is a tangent.
  • $\overline{R C}$: Has both endpoints \(R\) and \(C\) on the circle \(P\). By the definition of chord, it is a chord.
  • $\overline{S J}$: Passes through the center \(O\) (assuming \(S\) and \(J\) are endpoints such that the line passes through the center) of the circle. By the definition of diameter, it is a diameter.

Answer:

  • Radius: \(\overline{WO}\)
  • Tangent: \(\overleftrightarrow{WC}\)
  • Chord: \(\overline{R C}\)
  • Diameter: \(\overline{S J}\)