The Circle
Congruent Chords
Arcs of a Circle
Secants and Tangents
Theorems
100
two or more circles with the same center.
what is concentric circle?
100
If two chords of a circle are equidistant from the center, then they are congruent.
What is theorem 77?
100
two points on a circle and all points on the circle needed to connect the points by a single path
What is arc?
100
a line that intersects a circle at exactly two points.
What is a secant?
100
if two chords of a circle intersect inside the circle, then the product of the measures os the segment of one chord is equal to the product of the measure of the segment of the other chord. ( chord-chord power theorem)
What is theorem 95?
200
a segment joining any two parts of a circle
What is a chord?
200
If two chords of a circle are congruent, then they are equidistant from the center of the circle.
What is theorem 78?
200
If two central angles of a circle (or of congruent circles) are congruent, then their intercepted arcs are congruent.
What is theorem 79?
200
a line that intersects a circle at exactly one point.
What is a tangent?
200
If a tangent segment and a secant segment are drawn from an external point to a circle,then the square of the measure of the tangent segment is equal to the product of the measures of the entire secant segment and its external part. (tangent-secant power theorem)
What is theorem 96?
300
chord that passes through the center of a circle.
What is a diameter?
300
in circle O, PB=3x-17, CD=15-x, and OQ= OP-3 A. Find AB B. Find the radius of circle O
What is A.8 B.5?
300
If two arcs of a circle (or of congruent circles) are congruent, then the corresponding central angles are congruent
What is theorem 80?
300
circles that intersect each other at exactly one point.
What is a tangent circle
300
If two secant segments are drawn from an external point to a circle, then the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part. (secant-secant power theorem)
What is theorem 97?
400
the theorem that states if a radius of a circle bisects a chord that is not a diameter, then it is perpendicular to that chord.
What is theorem 75?
400
A 16-by-12 rectangle is inscribed in a circle. Find the radiuse of the circle
What is 10?
400
If two arcs of a circle (or of congruent circles) are congruent, then the corresponding chords are congruent.
What is theorem 83?
400
each of the tangent circles lies outside the other.
What is an external tangent?
400
AB is a diameter of circle O. CD is tangent to D, CD=6, and BC=4 Find the radius of the circle (AOBC is a secant and CD is a tangent)
What is 2.5?
500
the theorem that states the perpendicular bisector of a chord passes through the center of the circle
What is theorem 76?
500
in a circle, chord AB is 325 cm long and chord CD is 3 1/2m long. which is closer to the center
What is the same distance?
500
If two chords of a circle ( or of congruent circles) are congruent, then the corresponding arcs are congruent.
What is theorem 84
500
one of the tangent circles lies inside the other.
What is an internal tangent?
500
the diameter of the earth is approximately 8000 mi. Heavenly Helen, in a spaceship 100 mi above earth, sights Earthly Ernest coming over the horizon. Approximately how far apart are Helen and Ernest.
What is 900 mi?
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