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37 Cards in this Set

  • Front
  • Back
chord of a circle
diameter of a circle
radius of a circle
central angle
circumference of a circle
the distance around the circle

C = πd = 2πr
arc
major arc
minor arc
semicircle
arc with the same measure in the same circle or congruent circles are...
...congruent.
2 ways to measure arcs...
1. Degree measure = measure of the central angle = A

2. Arc length = A / 360 x circumference
In the same or congruent circles, two arcs are congruent if and only if...
...their corresponding angles are congruent.
adjacent arcs
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 circle or in congruent circles, two minor arcs are congruent if and only if...
their corresponding cords are congruent.
inscribed polygon
circumscribed geometric figure
In a circle, if a diameter (or radius) is perpendicular to a chord, then...
In a circle or congruent circles, two chords are congruent if and only if...
they are equidistant from the center.
inscribed angle
intercepted arc
Inscribed Angle Theorem
If two inscribed angles of a circle (or congruent circles) intercept congruent arcs or the same arc, then...
...the angles are congruent
If an inscribed angle intercepts a semicircle, then...
If a quadrilateral is inscribed in a circle, then...
tangent
point of tangency
If a line is tangent to a circle, then...
If two segments from the same exterior point are tangent to a circle, then...
secant
If two secants intersect in the interior of a circle, then...
If a secant and a tangent intersect at the point of tangency, then...
If two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle, then...
If two chords intersect in a circle, then...
If two secant are drawn to a circle from an exterior point, then...
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then...
An equation of a circle
(x - h)² +(y - k)² = r²

center at (h, k) and radius r