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Geo CH 12 Circles
Stepp's Prentice Hall Ch 12 Circles - pictures included try targets
Question | Answer |
---|---|
If a line is tangent to a circle, then it is ___ to the radius at the point of tangency | perpendicular |
A tangent line intersects with a circle exactly __ time(s) | 1 |
Two tangents to a circle from from the same point are ___ | congruent |
Congruent central angles have congruent ____ | chords |
Congruent chords have ___ arcs | congruent |
congruent arcs have congruent ___ angles | central |
Chords ___ from the center are congruent | equidistant |
If a two chords are equidistant from the center, they are ___ | congruent |
A chord (and its arc)that is perpendicular to a radius or diameter is also ____ by it. | bisected |
The perpendicar bisector bisector of a chord contains the ___ | center |
inscribed angles are always ___ the arc measure | half |
T or F: Inscribed angles are equal to central angles | False, they are half |
T or F: Arc Measure is the same as the measure of the central angle | True |
T or F: You can make an inscribed angle with a radius and another radius. | False, (2 chords) |
T or F: The vertex of an inscribed angle is at the center of the circle. | False, (on the circle) |
T or F: The longest chord you can get from a circle is diameter | True |
Two inscribed angles that have the same ___ are congruent | arc |
An inscribed angle whose arc is a semicircle is ___ | 90 degrees |
Opposite angles of a ____ inscribed in a circle are supplementary | quadrilateral |
A secant is a line that intersects a circle in ___ point(s) | two |
The angle formed by a tangent and a ___ is half the measure of the intercepted arc | chord |
When two lines intersect ____ a circle, the angle they form is half the sum of the two intercepted ars they form. | inside |
When two lines intersect ____ a circle, the angle they form is half the difference of the two intercepted ars they form. | outside |
The center of a circle has coordinates (__, __) | (h,k) |
True or False: A semicircle has an inscribed angle of 180 degrees. | False, (arc measure and central angle are 180, inscribed angle is half that or 90.) |
To write the equation of a circle in standard form, you need to know the center and the ____ | length of the radius |
When finding the angle formed by two lines that cross outside the circle you take half the ____ arc minus ___acr formed by the lines | bigger, smaller |
The point (h,k) is ____ | the center of a circle |
The value of h in the std form of the equation of a circle is ___ | Whatever you are subtracting from x |
The value of k in the std form of the equation of a circle is ___ | Whatever you are subtracting from y |
To write the equation of a circle, you have to have the ___ and the ____ | center, radius |
To find the radius of a circle when all you have is the center and a point on the circle, you solve for r by inserting your ___ and ___ values. | center, point(h,k), (x, y) |