• Shuffle
Toggle On
Toggle Off
• Alphabetize
Toggle On
Toggle Off
• Front First
Toggle On
Toggle Off
• Both Sides
Toggle On
Toggle Off
Toggle On
Toggle Off
Front

### How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key Play button Play button Progress

1/20

Click to flip

### 20 Cards in this Set

• Front
• Back
 Sum of central angles The sum of the measures of the central angles of a circle with no interior points in common is 360. Definition of arc measure The measure of a minor arc is the measure of its central angle. the measure of a major arc is 360 - the measure of its central angle. The measure of a semicircle is 180. Arc addition postulate The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs. Corresponding chords arc congruency theorem In a circle or congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. Diameter chord perpendicularness In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc. Chord congruency by distance from center In a circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center. Inscribed angle and intercepted arc relationship If an angle is inscribed in a circle, then the measure of the angle equals 1/2 the measure of its intercepted arc. Inscribed angle congruency by intercepted arcs If two inscribed angles of a circle or congruent circles intercept congruent arcs or the same arc, then the angles are congruent. Right inscribed angles by semicircle intercepts If an inscribed angle of a circle intercepts a semicircle, then the angle is a right angle. Inscribed quadrilateral angle relationships If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. Radius-tangent angle relationship If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. Converse of Radius-tangent angle relationship In a plane, if a line is perpendicular to a radius of a circle at the endpoint on the circle, then the line is a tangent of a circle. Exterior point tangent relationship If two segments from the same exterior point are tangent to a circle, then they are congruent. Secant-tangent intercepted arc relationship If a secant and a tangent intersect at the point of tangency, then the measure of each angle formed is one half the measure of the arc intercepted by the secant. http://goo.gl/UcnU1 If two secants intersect in the interior of a circle, then the measure of an angle formed is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle. The answer to the problem is D. http://goo.gl/y1gaR Arc DE = 60, Arc BC = 30 Find the measure of angle DAE If two secants, a secant an a tangent, or two tangents intersect in the exterior of a circle, then the measure of the angle formed is one half the positive difference of the measures of the intersected arcs. The answer is 15. http://goo.gl/hu7yT AB = ? If two chords intersect at a circle, then the products of the measures of the segments of the chords are equal. AB = CD http://goo.gl/kXa6f MN * NO = ? If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment. MP * PQ http://goo.gl/LiOC8 Fill in the censored If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. http://goo.gl/MqvNW E(B + C) = ? If two secants are drawn to a circle from an exterior point, then the exterior part of one of the secants multiplied by the entire secant equals the exterior part of the other secant multiplied by the entire secant.