Circle properties
Definitions
Angles and tangents
Theorems/corollaries (equality)
Theorems/corollaries/miscellaneous
100

In the same circle or in congruent circles, all radii are _?_.

equal
100

A line that has one and only one point in common with a circle

tangent

100

A central angle is measured by _?_

its intercepted arc

100

In the same circle or in congruent circles, two central angles are equal if _?_.

the arcs which they intercept are equal

100

The longest chord in a circle is the _?_.

diameter

150

A circle is determined by a given point as _?_ and a given line as _?_.

center / radius

150
A straight line that cuts the circle in two points

secant

150

An inscribed angle is measured by _?_

1/2 its intercepted arc

150

In the same circle or in congruent circles, two arcs are equal if _?_.

The central angles which they subtend are equal OR if the chords they subtend are equal

150

An angle inscribed in a semicircle is a(n) _?_ (what kind) angle.

right

200

If the radius of a circle is 3 in., a point that is 5 in. from the center will be _?_ (inside, outside, on) the circle.

outside

200

A figure bounded by an arc of a circle and its chord

segment
200

An angle formed by two chords intersecting in a circle is measured by _?_

1/2 the sum of the intercepted arcs on either side

200

In the same circle or in congruent circles, two chords are equal if _?_.

the arcs they subtend are equal OR if they are equally distant from the center

200

A diameter or radius perpendicular to a chord _?_ (does what) the chord and the arcs subtended by it.

bisects

250

Circles having equal radii or equal diameters are _?_.

congruent

250

The line that joins the centers of two circles

center segment (or center line)
250

How many common tangents do two circles have if one is wholly without the other?

4

250

Tangents drawn to a circle from an external point are _?_.

equal

250

An angle formed by two secants intersecting outside of a circle is measured by _?_.

1/2 the difference of the intercepted arcs

300

Two circles which have the same center are _?_.

concentric

300

The chord joining the points of intersection of two intersecting circles

common chord

300

How many common tangents do two intersecting circles have?

2

300

Arcs intercepted between _?_ lines are equal.

parallel

300

Tangents to a circle at the ends of a diameter are _?_.

parallel