Question

drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.
tiles
\overleftrightarrow{ab}, \overrightarrow{de}, \overline{oc}, \overarc{ac}, \angle aoc
pairs
radius →
secant →
tangent →

Explanation:

Step1: Recall definitions

• Radius: A line segment from the center of a circle to any point on the circle. So, if \( O \) is the center, \( \overline{OC} \) (where \( C \) is on the circle) represents a radius.
• Secant: A line that intersects a circle at two points. A secant is a line (infinite in both directions), so \( \overleftrightarrow{AB} \) (assuming it intersects the circle at two points) would be a secant.
• Tangent: A line that touches a circle at exactly one point. A tangent is a line (infinite in both directions), so \( \overleftrightarrow{DE} \) (assuming it touches the circle at one point) would be a tangent. (Note: The original problem's tiles and pairs might have a typo or standard notation, but based on common circle terms: radius is a segment from center to circle, secant is a line through two points, tangent is a line through one point.)

Step2: Match the terms

• Radius: \( \overline{OC} \) (since it's a segment from center \( O \) to point \( C \) on the circle).
• Secant: \( \overleftrightarrow{AB} \) (a line that can intersect the circle at two points).
• Tangent: \( \overleftrightarrow{DE} \) (a line that touches the circle at one point). (The other tiles: \( \widehat{AC} \) is an arc, \( \angle AOC \) is an angle, so they don't match radius, secant, or tangent.)

Answer:

• radius \(

ightarrow \overline{OC} \)

• secant \(

ightarrow \overleftrightarrow{AB} \)

• tangent \(

ightarrow \overleftrightarrow{DE} \)