Geometry Chapter 10 Flashcards

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Questions and Answers

What is a central angle?

An angle that intersects a circle in 2 points and has its vertex at the center of the circle (correct)

An angle that intersects a circle in 1 point

An angle that has its vertex on the circle

An angle that is always acute

What is a chord in a circle?

A segment with endpoints that are on the circle (correct)

A line that intersects the circle at one point

A radius of the circle

An angle that intercepts an arc

What is the definition of a circle?

The locus of all points in a plane equidistant from a given point called the center of the circle.

What does circumference refer to?

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

What does it mean for a circle to be circumscribed about a polygon?

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

What is a diameter in a circle?

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

What is the definition of an inscribed polygon?

A polygon is inscribed in a circle if each of its vertices lies on the circle. Signup and view all the answers

What does intercepted mean in terms of an angle and an arc?

An angle intercepts an arc if its endpoints lie on the angle and all points of the arc except the endpoints are in the interior of the circle. Signup and view all the answers

What is a major arc?

An arc with a measure greater than 180 degrees. Signup and view all the answers

What is a minor arc?

An arc with a measure less than 180 degrees. Signup and view all the answers

What is π (pi)?

An irrational number represented by the ratio of the circumference of a circle to its diameter. Signup and view all the answers

What is a point of tangency?

The point at which a line intersects a circle in only one point. Signup and view all the answers

What is a radius in a circle?

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

What is a secant?

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

What is a semicircle?

An arc that measures 180 degrees. Signup and view all the answers

What is a tangent?

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

Study Notes

Central Angle

Defined as an angle that intersects a circle at two points with its vertex located at the center.

Chord

A chord is a segment whose endpoints both lie on the circumference of a circle.

Circle

A circle consists of all points that are equidistant from a central point called the center.

Circumference

Circumference refers to the total distance around the edge of a circle.

Circumscribed

A circle is described as circumscribed around a polygon if it encloses all the vertices of the polygon.

Diameter

The diameter is a specific type of chord that passes through the center of a circle.

Inscribed

A polygon is inscribed in a circle if every vertex of the polygon touches the circumference of the circle.

Intercepted Arc

An angle is said to intercept an arc if its endpoints are on the angle and all other points of the arc are located inside the circle.

Major Arc

A major arc is any arc of a circle that measures more than 180 degrees.

Minor Arc

Conversely, a minor arc measures less than 180 degrees within a circle.

Pi

Pi (π) is an irrational number that is the ratio of the circumference of a circle to its diameter.

Point of Tangency

The point of tangency is where a tangent line touches a circle at exactly one point.

Radius

A radius is a segment connecting the center of a circle to any point on its circumference.

Secant

A secant is a line that crosses a circle at precisely two points.

Semicircle

A semicircle is an arc that measures exactly 180 degrees.

Tangent

A tangent line intersects a circle at only one point, creating a critical relationship to the circle's geometry.

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Description

Test your knowledge on key geometric concepts in Chapter 10 with these flashcards. Cover fundamental definitions such as central angle, chord, circle, and circumference. Ideal for students looking to enhance their understanding of geometry.