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9.2, Ch 10
| Question | Answer |
|---|---|
| set of all pts in a plane that are a given distance from a given pt in a plane | Circle |
| Pt that names the circle | Center of Circle |
| Distance from center of circle to circle | Radius |
| Chord that passed through the center of the circle | Diameter |
| Diameter = | 2(radius) |
| radii of a circle are | congruent |
| Circumference of a circle = | dπ or (2r)π |
| area of a circle = | (r^2)π |
| length of an arc = | %C % = measure of arc/360 |
| Area of a sector = | %A % = measure of arc/360 |
| two or more coplanar circles with the same circle | Concentric circles |
| if its distance from the center is less than the radius a point is | an interior point |
| if its distance from the center is greater than the radius a point is | an exterior point |
| if its distance from the center is the same as the radius a point is | on the circle |
| a segment joining any two points on a circle | chord |
| Distance from the center of a circle to a chord is the measure of | perpendicular segment from center to chord |
| Radius perpendicular to chord => | radius bisects chord |
| radius bisects chord that is not diameter => | radius perpendicular to chord |
| perpendicular bisector of chord => | passes through center of circle |
| 2 chords = distant from center of circle => | chords congruent |
| 2 chords of a circle congruent => | chords equidistant |
| consists of 2 pts on a circle and all pts on circle connecting the pts by a single path | arc |
| The _______ of an arc is the center of circle of which the arc is a part | Measure |
| An angle whose vertex is at the center of a circle | Central angle |
| An arc whose points are on or between the sides of a central angle | minor arc |
| An arc whose points are on or outside a central angle | major arc |
| An arc whose endpoints are the endpoints of a diameter | semicircle |
| measure of a minor arc or a semicircle is | = to the measure of the central angle that intercepts the arc |
| measure of a major arc is | 360- minor arc with same endpoints |
| when two arcs have the same measure and are parts of the same circle or congruent circles | congruent arcs |
| 2 central angles congruent => | intercepted arcs congruent |
| 2 arcs congruent => | central angles congruent |
| central angles congruent => | corresponding chords congruent |
| chords congruent => | central angles congruent |
| arcs congruent => | chords congruent |
| chords congruent => | arcs congruent |
| line that intersects a circle at exactly 2 pts | secant |
| line that intersects a circle at exactly 1 pt | tangent |
| a tangent line to the point of tangency | perpendicular |
| line perpendicular to radius at outer endpoint => | tangent |
| the part of a tangent line between the points of contact and a point outside the circle | tangent segment |
| the part of a secant line that joins a point outside the circle to the farther intersection point of the secant and the circle | secant segment |
| two tangent segments are drawn to a circle from an external pt => | segments congruent |
| circles that intersect eachother at exactly one point | tangent circles |
| a tangent line that lies between two circles | common internal tangent |
| a tangent line that does not lie between two circles | common external tangent |
| an angle whose vertex is on a circle and whose sides are determined by two chords | inscribed angle |
| vertex on circle | measure of arc = 2x angle |
| vertex inside circle | measure of angle = a+b/2 |
| vertex outside circle | measure of angle = a-b/2 |
| same arc => | congruent angles |
| congruent arcs => | congruent angles |
| angle inscribed in semicircle | right angle |
| sum of tangent-tangent angle and its minor arc | 180 |
| polygon's vertices lie in circle | inscribed in |
| polygon's sides tangent to circle | circumscribed about |
| quadrilateral inscribed in circle | opposite angles supplementary |
| parallelogram inscribed in circle | rectangle |
| part (part) = | part(part) |
| outside(whole) = | outside(whole) |
| arc length = | (angle/360)Circumference |
Created by:
mccanr17
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