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Geometry-Circles
| Question | Answer |
|---|---|
| Define: Chord | A segment whose endpoints lie on a circle. |
| Define: Secant | A line that intersects a circle at two points. |
| Define: Tangent | A line in the exact same plane as a circle that intersects it at exactly one point. |
| Define: Point of Tangency | The point where the tangent and a circle intersect. |
| Define: Congruent Circles | Circles that have congruent radii. |
| Define: Concentric Circles | Coplanar circles with the same center. |
| Define: Tangent Circles | Two coplanar circles that intersect at exactly one point. |
| Define: Common Tangent | A line that is tangent to two circles |
| A line that is tangent to a circle is ________ to the radius. | Perpendicular |
| If two segments are tangent to a circle from the same external point, then the segments are _________. | Congruent |
| Define: Central Angle | An angle whose vertex is the center of a circle. |
| Define: Arc | An unbroken part of a circle consisting of two points called the endpoints and all the points on the circle between them. |
| Define: Minor Arc | An arc whose points are on or in the interior of a central angle. |
| Define: Major Arc | An arc whose points are on or in the exterior of a central angle. |
| Define: Semicircle | An arc that's endpoints lie on a diameter. |
| Define: Adjacent Arcs | Arcs of the same circle that intersect at exactly one point. |
| In a circle, if a radius (or diameter) is perpendicular to a chord, then it ________ the chord. | Bisects |
| Define: Sector of a Circle | A region bounded by two radii of the circle and their intercepted arc. |
| What is the equation for the area of a sector and/or segment? | A=πr^2 (m°/360°) |
| Define: Segment of a Circle | A region bounded by an arc and its chord. |
| Define: Arc Length | The distance along an arc measured in linear units. |
| What is the equation for arc length? | L=2πr(m°/360°) |
| Define: Inscribed Angle | An angle whose vertex is on a circle and whose sides contain chords of the circle. |
| Define: Intercepted Arc | An arc consisting of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them. |
| What is the relationship between the inscribed angle and the intercepted arc? | The intercepted arc is two times bigger than the inscribed angle. |
| Define: Subtends | When a chord or arc's endpoints lie on the sides of the angle. |
| If a quadrilateral is inscribed in a circle, then is opposite angles are...? | Supplementary |
| If the vertex of an angle lies outside the circle, what is it in relation to its intercepted arcs? | Half the difference of the arcs. |
| If the vertex of an angle lies inside the circle, what is it in relation to its intercepted arcs? | Half the sum of the arcs. |
| Define: Secant Segment | A segment of a secant with at least one endpoint on the circle. |
| Define: External Secant Segment | A secant segment that lies in the exterior of the circle with one endpoint on the circle. |
| If two secants intersect in the exterior of a circle, then the product of the lengths of one secant segment and its external segment is ______ the product of the lengths of the other secant segment and its external segment. | Equal to |
| If a secant and a tangent intersect in the exterior of a circle, then the product of the lengths of the secant segment and its external segment equals...? | The length of the tangent segment squared |
| Define: Tangent Segment | A segment of a tangent with one endpoint on the circle. |
| What is the equation of a circle? | (x-h)^2 + (y-k)^2 = r^2 |