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Chapter 10/9.2
FLashcards on CHapter 10 and section 9.2
| Term | Definition |
|---|---|
| Circumference of a Circle | C=(pi)d |
| Area of a Circle | A=(pi)r^2 |
| Circle | Set of all points in a plain equidistant to a given point. |
| Center (of a circle) | The given point |
| Radius | The given distance |
| Concentric | Two or more coplanar circles with the same center |
| Circles Congruent | Congruent radii =>Circles congruent |
| If the distance from a point to the center of is less than the radius the point is ___ | Interior of the circle |
| If the distance from a point to the center of is greater than the radius the point is ___ | Exterior of the circle |
| If the distance from a point to the center of is equal to the radius the point is ___ | on the circle |
| Chord | Segment joining any two points on a Circle |
| Diameter | A Chord that passes through the center of the circle |
| The distance from the center of a circle to a chord is the measure of the _______ segment from the center of the chord | Perpendicular |
| If a radius is ____ to a chord, then it ____ the chord | Perpendicular, Bisect |
| If a radius of a circle___ a chord that is not a diameter, then it is _____ to that chord. | Bisect, Perpendicular |
| The _____ of a chord passes through he center of the circle | Perpendicular bisector |
| If two chord s of a circle are equidistant from the center of the circle, then they are ___ | Congruent |
| If two chords of a circle are congruent, then they are ___ from the center of the circle | Equidistant |
| A(n) ___ consists of two points on a circle and all points needed to complete the path | Arc |
| The center of an arc is the ____ of the circle which the arc is a part of. | Center |
| A ___ angle is an angle whose vertex is at the center of the circle. | Central Angle |
| A ___ is an arc whose angle measure is less than 180 degrees | Minor Arc |
| A ____ is an arc whose measure is greater than 180 degrees | Major Angle |
| A ___ is an arc whose endpoints are the end points of a diameter. | Semicircle |
| The measure of an arc is ___ as the measure of the central angle which intercepts the arc. | Equal |
| The measure of major arc is ____ minus the measure of the minor arc wot the same endpoints | 360 |
| Two arcs are _____ whenever they have the same measure and are parts of the same circle or congruent circles | Congruent |
| If two central angles of a circle (or of congruent circles) are congruent, then their intercepted ____ are congruent. | Arcs |
| If two arcs of a circle (or of congruent circles) are congruent, then the corresponding ____ are congruent | Central Angles |
| If two central angles of a circle (or of congruent circles) are congruent, then the corresponding ____ are congruent | Chords |
| If two chords of a circle (or of congruent circles) are congruent, then the corresponding __ are congruent | Central Angles |
| If two arcs of a circle (or of congruent circles) are congruent, then the corresponding __ are congruent | Chords |
| If two chords of a circle (or of congruent circles) are congruent, then he corresponding ___ are congruent | Arcs |
| A __ is a line that intersects a circle at exactly two points. (Contains a chords in a circle) | Secant |
| A __ is a line that intersects a circle at exactly one point. | Tangent |
| The point where a tangent line intersects a circle is called ____ | Point of tangency or point of contact |
| A tangent line is ____ to the radius drawn to the point of contact | Perpendicular |
| If a line is ____ to a radius at its outer endpoint, then it is tangent to the circle . | Perpendicular |
| A ____ is the part of a tangent line between the point of contact and a point outside the circle. | Tangent Segment |
| A ___ is the part of a secant line that joins the point outside the circle to the farther intersection point of the secant and the circle | Secant Segment |
| The ___ of a secant segment is the part of a secant that joins the outside point to the nearer intersection point. | External Point |
| If two ____ are drawn to a circle from an external point, then those segments are congruent. | Tangent segments |
| ___ are circles that intersect each other at exactly one point | Tangent circles |
| Two circles are ___ if each of the tangent circles lies outside each other | Externally tangent |
| Two circles are ___ if one of the tangent circles lies inside the other. | Internally tangent |
| A ___ is a line tangent to two circles | Common tangent |
| A common tangent is a ___ if it lies between the circles | Common internal tangent |
| A common tangent is a ___ if it is not between the circles | Common external tangent |
| An ___ is an angle whose vertex is o a circle an whose sides are determined by two chords | Inscribed angle |
| A ____ is an angle whose vertex is on a circle and whose sides are determined by a tangent and a chord that intersects at the tangent's point of contact | Tangent chord angle |
| The measure of an ___ is one half the measure of its intercepted arc | Inscribed angle or tangent chord angle |
| A ____ is an angle formed by two chords that intersect inside a circle but not at the center | chord-chord angle |
| The measure of a ___ is one-half the sum of the measure of the arcs intercepted by the chord chord angle and its vertical angle. | chord-chord angle |
| A ___ is an angle whose vertex is outside a circle and whose sides are determined by two secants | Secant-secant angle |
| A ___ is an angle whose vertex is outside a circle and whose sides are determined by a secant and a tangent | Secant-tangent angle |
| A ___ is an angle whose vertex is outside a circle and whose sides are determined by two tangents | Tangent-tangent angle |
| The measure of a ___ is one half the difference of the measures of the intercepted arcs | Secant-secant, Secant tangent, tangent-tangent |
| If two inscribed or tangent chord angles intercept the ___ arc, then they are congruent | Same |
| If two inscribed or tangent chord angles intercept ___ arcs, then they are congruent | Congruent |
| An angle inscribed in a semicircle is a ___ angle | right |
| The sum of the measures of a tangent-tangent angle and its minor arc is ___ | 180 |
| A polygon is ____ in a circle if all of its vertices lie on the circle | inscribed |
| A polygon is ____ about a circle if each of its sides is tangent to the circle | circumscribed |
| The center of a circle circumscribed about a polygon is the ____ of the polygon | circumcenter |
| The center of a circle inscribed in a polygon is the ___ of the polygon | incenter |
| If a quadrilateral is inscribed in a circle in a circle, its opposite angles are ___ | supplementary |
| If a parallelogram is inscribed in a circle, it must be a ___ | rectangle |
| If two chords of a circle intersect inside the circle then the product of he measures of the segment of one chord is equal to the product of the measures of the segment of the other chords | Part(Part)=Part(Part) |
| 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 tangent segment of the entire segment and its external part | Part(whole)=Part(whole) |
| 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 f the measures of the othetr secant segment and its external part. | Part(whole)=Part(whole) |
Created by:
chappa16