Glencoe Geometry Chapter 10 Flashcards

Questions and Answers

What is the center of a circle?

An angle that intersects a circle

A segment on a circle

The distance around a circle

The given point in the center of a circle (correct)

What is a central angle?

An angle that intersects a circle in two points and has its vertex at the center of the circle.

What is a chord?

Segment on a circle where both endpoints are located on the circle.

Define a circle.

Set of all points that are equidistant from a given point. Signup and view all the answers

What is the circumference of a circle?

The distance around a circle. Signup and view all the answers

What does circumscribed mean?

When a circle contains all the vertices of a polygon. Signup and view all the answers

What is a diameter?

A chord that passes through the center of a circle. Signup and view all the answers

What does inscribed mean?

Vertices that lie on a circle in a polygon. Signup and view all the answers

What is pi?

Irrational number symbolized by a Greek letter (3.1415......). Signup and view all the answers

Define a point of tangency.

When a line intersects a circle in exactly one point. Signup and view all the answers

What is a radius?

Any segment with endpoints that are the center and a point of a circle. Signup and view all the answers

What are secants?

A line that intersects a circle in exactly two points. Signup and view all the answers

What is a semicircle?

A part of a circle or a half of a circle. Signup and view all the answers

What is a tangent?

A line in the plane of a circle that intersects the circle in exactly one point. Signup and view all the answers

Study Notes

Circle Definitions and Key Terms

Center: The fixed point at the heart of a circle from which all points on the circle are equidistant.
Central Angle: An angle formed by two radii of the circle that intersects the circle at two points; its vertex is at the center.
Chord: A straight line segment whose endpoints both lie on the circumference of the circle.
Circle: A geometric figure consisting of all points equidistant from a given point, referred to as the center.
Circumference: The total length around the circle, equivalent to the perimeter of a circle.

Properties Relating to Circles and Polygons

Circumscribed: A configuration where a circle encompasses all the vertices of a polygon.
Diameter: A special type of chord that passes through the circle's center, effectively cutting the circle into two equal halves.
Inscribed: Refers to a polygon whose vertices all touch the circumference of a circle.

Important Constants and Measurements

Pi (π): An irrational number, approximately equal to 3.1416, representing the ratio of a circle's circumference to its diameter, denoted by the Greek letter π.
Point of Tangency: The point at which a tangent touches the circle; it signifies a single interaction between the line and the circle.

Line Relationships with Circles

Radius: A line segment from the center of a circle to any point on its circumference, helping define the size of the circle.
Secants: A straight line that intersects a circle at two distinct points, offering insight into the circle's properties.
Semicircle: Exactly half of a circle, created when a diameter is drawn, resulting in two equal arcs.
Tangent: A straight line that touches the circle at a single point, illustrating the concept of external intersection.

Description

Explore key terms and definitions from Chapter 10 of Glencoe Geometry. This quiz covers essential concepts such as the center, central angle, chord, and circle. Perfect for reviewing geometric principles and preparing for exams.