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

200

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

center / radius

200

A straight line that cuts the circle in two points

secant

200

An inscribed angle is measured by _?_

1/2 its intercepted arc

200

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

200

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

right

300

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

300

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

segment

300

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

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

300

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

300

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

bisects

400

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



congruent

400

The line that joins the centers of two circles

center segment (or center line)

400

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

4

400

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

equal

400

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

1/2 the difference of the intercepted arcs

500

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

 concentric

500

The chord joining the points of intersection of two intersecting circles

common chord

500

How many common tangents do two intersecting circles have?

2

500

Arcs intercepted between _?_ lines are equal.

parallel

500

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

parallel

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