A circle with center O has points A, B, C, and D on its circumference. • Line segment AB p… — Armed Services Vocational Aptitude Battery (ASVAB)

A circle with center $O$ has points $A$ , $B$ , $C$ , and $D$ on its circumference.

• Line segment $AB$ passes through the center $O$ .
• Line segment $CD$ does not pass through $O$ .
• Line $L$ intersects the circle exactly at point $A$ .
• Line $M$ intersects the circle at points $C$ and $B$ , and extends infinitely in both directions.

Match each geometric term on the left with the notation that represents it on the right.

RadiusLine segment $OA$
DiameterLine segment $AB$
ChordLine segment $CD$
TangentLine $L$
SecantLine $M$

Answer

Radius corresponds to Line segment OA; Diameter corresponds to Line segment AB; Chord corresponds to Line segment CD; Tangent corresponds to Line L; Secant corresponds to Line M.

Each geometric term strictly defines a specific type of line or segment related to a circle. By systematically checking the endpoints and intersection points described in the stem, we accurately pair each term to its corresponding notation.

Step-by-Step Solution

Evaluate Line segment OA

Matches Radius

Since O is the center and A is on the circle, the segment connecting them is the radius.

Evaluate Line segment AB

Matches Diameter

The segment connects two points on the circle and passes through the center O.

Evaluate Line segment CD

Matches Chord

The segment connects two points on the circle but does not pass through the center.

Evaluate Line L

Matches Tangent

The line touches the circle at exactly one point, which is the definition of a tangent line.

Evaluate Line M

Matches Secant

The line extends infinitely and intersects the circle at exactly two points.

Key Concept

Geometric definitions of circle components

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