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Ch.10.1 & Ch.10.5
| Word/Phrases/If | Definition/Theorem/Then |
|---|---|
| Circle | A ____________ is the set of all points in a plane that are a given distance from a given point in the plane. |
| Center | The point that names the circle is the ____________ of the circle. |
| Diameter | A ____________ is the chord that passes through the center of the circle. |
| Diameter | A ____________ is equal length to two radii. |
| All radii of the same circles are congruent | O=>≅radii |
| Circumference of a circle | dπ |
| Area of a circle | πr2 |
| Length of an arc | (%arc/360)C |
| Area of a sector | (%arc/360)A |
| Concentric | Two or more coplanar circles with the same center are called ____________ circles. |
| Interior | A point is inside (in the ____________ of) a circle if its distance from the center is less than the radius. |
| Exterior | A point is outside (in the ____________ of) a circle if its distance from the center is greater than the radius. |
| Equidistant | A point is _____a circle if its distance from the center is equal to the radius. |
| Radius | The point that names the circle is the ________________ of the circle. |
| Chord | A _____ of a circle is a segment joining any 2 points on the circle. |
| Diameter | A _____ of a circle is a chord that passes through the center of the circle. |
| Perpendicular | The distance from the center of a circle to a chord is the measure of the __________________ segment from the center to the chord. |
| If a radius is perpendicular to a chord | Then it bisects the chord. |
| If a radius of a circle bisects a chord that is not a diameter | Then it is perpendicular to the chord |
| Perpendicular Bisector | The _____ of a chord passes through the center of a circle. |
| If 2 chords of a circle are equidistant from the center of a circle | Then the chords are congruent. |
| If 2 chords of a circle are congruent | Then they are equidistant. |
| Arc | An _____ consists of 2 points on a circle and all points on the circle needed to connect the points by a single path. |
| Measure of an arc | The _____ is the center of the circle of which the arc is a part. The unit is degrees. |
| Central | A _____ is an angle whose vertex is at the center of a circle. |
| Minor Arc | A _____is an arc whose points are on or between the sides of a central angle. |
| Major Arc | A _____ is an arch whose points are on or outside of a central angle. |
| Semicircle | A _____ is an arc whose endpoints are the endpoints of a diameter. |
| Same | The measure of a minor arc or a semicircle is the _______ as the measure of the central angle that intercepts the arc. |
| Minor Arc | The measure of a major arc is 360 minus the measure of _______ _______________ ______ with the same endpoints. |
| Congruent | Two arcs are ________________ whenever they have the same measure and are parts of the same circle or congruent circles. |
| If 2 central angles of a circle (or of congruent circles) are congruent | Then arcs and chords of central angle are congruent. |
| If 2 chords of a circle (or of congruent circles) are congruent | Then arcs and central angles are congruent. |
| If 2 arcs of a circle (or of congruent circles) are congruent | Then chords and central angles are congruent. |
| Secant | A __________________ is a line that intersects a circle at exactly 2 points. (Every ______________ contains a chord of the circle.) |
| Tangent | A ________________ is a line that intersects a circle at exactly one point. This point is called the point of tangency or point of contact. |
| Perpendicular | A tangent line is ______ to the radius drawn to the point of contact. |
| If a line is perpendicular to a radius at its outer endpoint | Then it is tangent to the circle. |
| Tangent Segment | A ___________________________ is the part of a tangent line between the points of contact and a point outside the circle. |
| Secant Segment | A _______________________________ is the part of a secant line that joins a point outside the circle to the farther intersection point of the secant and the circle. |
| External Part | The ____________________________ of a secant segment is the part of a secant line that joins the outside point to the nearer intersection point. |
| If 2 tangent segments are drawn to a circle from an external point | Then those segments are congruent. |
| Tangent | ________________________ are circles that intersect each other at exactly one point. |
| Externally Tangent | Two circles are _______________________ if each of the tangent circles lies outside the other. |
| Internally Tangent | Two circles are ______________________ if one of the tangent circles lies inside the other. |
| Common Tangent | A __________________ is a line tangent to two circles (not necessarily at the same point). |
| Common Internal Tangent | Such a tangent is a __________________ if it lies between the circles (intersects the segment joining the centers) or a ________________ if it is not between the circles (does not intersect the segment joining the centers). |
| Common External Tangent | A _________________________________ angle is an angle whose vertex is on a circle and whose sides are determined by a tangent and a chord that intersect at the tangent's point of contact. |
| The measure of an inscribed angles or a tangent-chord angle (vertex on a circle) | 1/2(arc) |
| Chord-Chord | A ______________________________ angle is an angle formed by 2 chords that intersect inside a circle but not at the center. |
| Secant-Secant | A __________________________ angle is an angle whose vertex is outside a circle and whose sides are determined by 2 secants. |
| Secant-Tangent | A __________________________ angle is an angle whose vertex is outside a circle and whose sides are determined by a secant and a tangent. |
| Tangent-Tangent | A __________________________ angle is an angle whose vertex is outside a circle and whose sides are determined by 2 tangents. |
| The measure of a secant-secant angle, a secant-tangent angle, or a tangent-tangent angle (vertex outside the circle) | 1/2(arc-arc) |
Created by:
JKLee
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