geometry - chapter 10 test

Circle

the set of points in a plane at a given distance from a given point in that plane; is named by its center

Radius

the distance from the center of the circle to any point on the circle

Chord

line segment that connects two points on a circle

Diameter

chord that goes through the center of the circle

Secant

line that contains a chord of the circle

Tangent

line that intersects a circle at exactly 1 point

Point of tangency

the point where a tangent line intersects the circle

Concentric circles

2 circles that share the same center

Common tangents

lines tangents to 2 circles

Central angle

an angle whose vertex is in the center of the circle

Minor arc

named by 2 letters and measures between 0 and 180

Major arc

measure = 360 - measure of minor arc; measure between 180 and 360

Semicircle

arc whose endpoints are the diameter

adjacent arcs

arcs in the same circle that have a common endpoint

Congruent circles

circles that have the same radius

congruent arcs

arcs that have the same measure and are arcs of the same circle or congruent circles

central angles

angle whose vertex is the center of a circle and has 2 radii as sides

inscribed angle

angle whose vertex is on a circle and whose side contain chords

intercepted arc

the arc that lies inside the inscribed angle

What is a circle that contains all the vertices that lie on a circle?

circumscribed circle

What is the sum of the measures of the central angles of a circle with no interior point in common?

360

What is the measure of an inscribed angle equal to?

1/2 the arc it corresponds with

Two circles that have the same center are called?

Concentric circles

An angle whose vertex is at the center of a circle and whose sides are radii of the circle is called a ____ angle?

central

A circle that contains the vertices of an inscribed polygon is a ________?

Circumscribed circle

In a circle, if 1 chord is a ______ of another, the the first chord is a _____?

Perpendicular bisector, diameter

In the same circle, two chords are ___ iff their corresponding ___ are ____.

congruent, arcs, congruent

If a quadrilateral is inscribed in a circle, then its opposite angles are _____?

Supplementary

Two intersecting circles can have at most ___ common tangents.

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