Question

1. name/identify the part of the circle

dragable
item
carresponding
name

ca

→ radius

∠w 1

→ diameter

bd

→ chord

dw

→ segment

ast

→ tangent

pt

→ center

∠apt

→ point of
tangency

p

→ central angle

bx

→ inscribed angle

rs

→ semicircle

∠xbd

→ minor arc

s

→ major arc

Explanation:

• Radius: A line segment from the center of the circle to any point on the circle. \( OA \) fits this definition as \( O \) is the center and \( A \) is on the circle.
• Diameter: A line segment passing through the center of the circle with both endpoints on the circle. \( BW \) passes through \( O \) (the center) and has endpoints \( B \) and \( W \) on the circle.
• Chord: A line segment with both endpoints on the circle. \( BD \) has endpoints \( B \) and \( D \) on the circle.
• Secant: A line that intersects a circle at two points. \( DR \) intersects the circle at two points (e.g., \( D \) and another point if extended).
• Tangent: A line that touches the circle at exactly one point. \( AS \) touches the circle at one - point (assuming \( S \) is the point of contact).
• Central Angle: An angle whose vertex is at the center of the circle. \( \angle PT \) (assuming \( P \) is the vertex at the center).
• Point of Tangency: The single point where a tangent touches the circle. \( P \) (assuming it is the point where the tangent touches the circle).
• Inscribed Angle: An angle whose vertex is on the circle. \( \angle BX \) (assuming the vertex is on the circle).
• Semicircle: An arc that measures \( 180^{\circ}\). \( \overline{RS} \) (if it is a half - circle arc).
• Minor Arc: An arc that is less than a semicircle. \( \angle XBD \) (assuming it represents a minor arc).
• Major Arc: An arc that is greater than a semicircle. \( S \) (assuming it represents a major arc).

Answer:

\( OA
ightarrow\)radius, \( BW
ightarrow\)diameter, \( BD
ightarrow\)chord, \( DR
ightarrow\)secant, \( AS
ightarrow\)tangent, \( \angle PT
ightarrow\)central angle, \( P
ightarrow\)point of tangency, \( \angle BX
ightarrow\)inscribed angle, \( \overline{RS}
ightarrow\)semicircle, \( \angle XBD
ightarrow\)minor arc, \( S
ightarrow\)major arc.