Chapter 12 Postulates & Theorems

13 terms by alinebou

Create a new folder

Advertisement Upgrade to remove ads

Standard Equation of a Circle

The standard equation of a circle with center (h,k) and radius r is (x-h)²+(y-k)²=r²

Arc Addition Postulate

The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs

In a plane, a line is tangent to a circle IFF

the line is perpendicular to a radius of the circle at its endpoint on the circle

Tangent segments from a common external point are

congruent

In the same circle, or in congruent circles, two minor arcs are congruent IFF

their corresponding chords are congruent

If one chord is the perpendicular bisector of another chord

then the first chord is a diameter

If a diameter of a circle is perpendicular to chord,

then the diameter bisects the chord and its arc

In the same circle, or in congruent circles, two chords are congruent IFF

they are equidistant from the center

Measure of an Inscribed Angle Theorem

The measure of an inscribed angle is one half the measure of its intercepted arc

If two inscribed angles of a circle intercept the same arc,

then the angles are congruent

An angle inscribed in a semicircle

is a right angle.

The opposite sides of a quadrilateral inscribed in a circle are

supplementary

If a tangent and a chord intersect at a point on a circle,

then the measure of each angle formed is one half the measure of its intercepted arc

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions above and try again

Example:

Reload the page to try again!

Reload

Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

NEW! Voice Recording

Create Set