Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Ch 10 circles
Geometry for enjoyment and challenge
| Question | Answer |
|---|---|
| A is the set of all points in a plane that are a given distance from a given point in the plane | Circle |
| A is the set of all points in a plane that are a given distance from a given point in the plane | Circle |
| The point that names the circle is the of the circle | Center |
| The distance from the center of a circle to the circle is the __________________ | Radius |
| A ___________ is the chord that passes through the center of the circle | Diameter |
| A ______ is equal in length to two radii | diameter |
| All radii of the same circle are _____ | congruent |
| The circumference of a circle = _____ | d*pi |
| The area of a circle = _____ | r2π |
| The length of an arc = _____ | %C The % is the measure of the arc divided by 360 |
| The area of a sector = _____ | % A The % is the measure of the arc divided by 360 |
| Two or more coplanar circles with the same center are called _ circles | concentric |
| A point is (in the of) a circle if its distance from the center is greater than the radius | Outside exterior |
| A point is _____a circle if its distance from the center is equal to the radius | Equidistant |
| A _____ of a circle is a segment joining any 2 points on the circle | chord |
| A _____ of a circle is a chord that passes through the center of the circle | diameter |
| The distance from the center of a circle to a chord is the measure of the segment from the center to the chord | Perpendicular |
| If a radius is perpendicular to a chord, then | 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 |
| The _____ of a chord passes through the center of a circle | Perpendicular bisector |
| 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 |
| An _ consists of 2 points on a circle and all points on circle needed to connect points by 1 path | arc |
| The __of an arc is the center of the circle of which the arc is a part | The unit is _____ |
| A _____ is an angle whose vertex is at the center of a circle | central angle |
| A _____is an arc whose points are on or between the sides of a central angle | Minor arc |
| A _____ is an arch whose points are on or outside of a central angle | Major arc |
| A _____ is an arc whose endpoints are the endpoints of a diameter | semicircle |
| The measure of a minor arc/semicircle is _the measure of central angle that intercepts arc | The same as |
| The measure of a major arc is 360 minus the measure of __with the same endpoints | The minor arc |
| Two arcs are when they have the same m and are parts of the same circle/congruent circles | Congruent |
| If 2 central angles of a circle/congruent circles are congruent, then | Their intercepted arcs are congruent |
| If 2 arcs of a circle/congruent circles are congruent then | The corresponding central angles are congruent |
| If 2 central angles of a circle/congruent circles are congruent then | Corresponding chords are congruent |
| If 2 chords of a circle (or of congruent circles) , then | The corresponding central angles are congruent |
| If 2 arcs of a circle (or of congruent circles) are congruent, then | The corresponding chords are congruent |
| If 2 chords of a circle (or of congruent circles) are congruent, then | The corresponding arcs are congruent |
| A _is a line that intersects a circle at exactly 2 points | (Every _ contains a chord of the circle |
| A _ is line that intersects a circle at _ point | This point is called the _ Tangent,One,Point of tangency |
| A tangent line is to the radius drawn to the point of contact | Perpendicular |
| If a line is perpendicular to a radius at its outer endpoint, then | It is tangent to the circle |
| A _is the part of a tan line between the points of contact and a point outside the circle | Tangent segment |
| A _is the part of a secant line that joins a point outside the circle to the farther point of the secant and circle | Secant segment |
| The _ of a secant segment is the part of a secant line that joins the outside point to the nearer intersection point | External part |
| If 2 tangent segments are drawn to a circle from an external point, then | Those segments are congruent |
| _ are circles that intersect each other at exactly one point | Tangent circles |
| Two circles are _if each of the tangent circles lies outside the 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 (not necessarily at the same point) | Common tangent |
| Such a tangent is a _ if it lies between the circles (intersects the segment joining the centers) | Common internal tangent |
| a ________________ _________________ __________________ if it is not between the circles (does not intersect the segment joining the centers) | Common external tangent |
| An _ is an angle whose vertex is on a circle and whose sides are determined by 2 chords | Inscribed angle |
| 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 | Tan-chord angle |
| The measure of an inscribed angles or a tangent-chord angle (vertex on a circle) is | 1/2 the measure of its intercepted arc |
| A _ angle is an angle formed by 2 chords that intersect inside a circle but not at the center | Chord-chord |
| The measure of a chord-chord angle is | 1/2 half the sum of the measures of the arcs intercepted by the chord-chord angle and its vertical angle |
| 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 | Secant-tangent |
| A _ angle is an angle whose vertex is outside a circle and whose sides are determined by 2 tangents | Tangent-tangent |
| The measure of a secant-secant angle, a secant-tangent angle, or a tangent-tangent angle (vertex outside the circle) is | 1/2 the difference of the measures of the intercepted arcs |
Created by:
tomlir18
Popular Math sets