Lines in a Circle
A line segment that extends from the center of a circle to its perimeter.
Radius
An angle in a circle whose vertex is the center of the circle.
Central Angle
The measure of the arc of a circle is the same as the measure of the ________
central angle
What is the point where a tangent line touches a circle called?
The point of tangency
Vertical angles are ________.
congruent/equal in measure/the same degrees
A line segment that extends from one "side" of the circle to another.
Chord
An angle whose vertex is on the perimeter of the circle.
Inscribed Angle
Major arcs are names by 3 points on the circle why?
So you know which way the arc "travels" around the circle.
In a circle, if a radius is drawn to the point of tangency, then the tangent line is _______ to that radius.
perpendicular/a right angle
When you have two parallel line and a transversal, which angles are congruent? (Name one set)
-Alternate Exterior angles
-Alternate Interior angles
-Corresponding angles
A line segment that extends from one "side" of the circle to another and passes through the center.
Diameter
The sides of an inscribed angle of a circle are....
chords of the circle
Congruent arcs of a circle also have congruent ________ and _______.
central angles and congruent chords.
In a circle, if the radius is drawn to some point on the circle and a line through that point makes a right angle, then the line through that point must be a _________.
tangent line
180 degrees
A line segment that intersects/crosses the circle at exactly one point.
Tangent Line
The measure of a central angle is _______ the measure of the intercepted arc.
congruent to/the same as
If the arc of a circle is a semicircle, what is the measurement of the central angle that intercepts said arc?
180 degrees.
If two segments are tangent to a circle from the same exterior point, then the two tangent lines are _________.
congruent/the same length/equal in length
The sum of all interior angles of any polygon with n sides is ________. (looking for a formula)
(n-2)*180
A line segment that intersects/crosses the circle at two points.
Secant Line
The measure of an inscribed angle is _______ the measure of the intercepted arc.
half
If the arc of a circle is a semicircle, what is the measurement of the inscribed angle that intercepts said arc?
90 degrees.
In a circle, if the radius is perpendicular to a chord, then the radius ______ the chord.
bisects/cuts in half
Solve x+5 = 2x - 7.
x=12