True or false.
If a line is tangent to the circle then the radius is perpendicular to the tangent line at the point of tangency.
True.
100
Define a chord.
A segment whose endpoints are on a circle.
100
How are central angles and their arcs related?
The measure of the arc is congruent to the measure of the central angle. (Theorem 12-4)
100
What is the measurement of an inscribed angle that has a semicircle arc?
The angle is a right angle.
100
In a circle does the perpendicular bisector of a chord contain the center of a circle?
Yes. (Theorem 12-10)
200
Define tangent line and point of tangency.
Tangent line: A line that intersects a circle at exactly one point.
Point of tangency: The point where a line intersects the circle.
200
True or False.
If two chords are equidistant from the center of the circle then the chords are not congruent.
False.
200
How are inscribed angles and their arcs related?
The measure of the inscribed angle is half the measure of its intercepted arc.
OR
The measure of the arc is twice as big as the measure of its inscribed angle. (Theorem 12-11)
200
True or false.
If an angle is formed by a tangent and a chord then the measurement of the angle is half as much as the arc.
True (Theorem 12-12)
200
Supplementary or Complementary?
The opposite angles of a quadrilateral inscribed in a circle are ___________
Supplementary (Corollary 3 to Theorem 12-11)
300
Find the radius of circle O.
PT=12
T (to the circle)=8
Radius: 5
Use Pythagorean Theorem.
300
If a radius is perpendicular to a chord then the radius _____
the chord.
Bisects
300
If two angles intercept the same arc, are the angles congruent?
Yes the angles are congruent.
300
What is the measurement of arc AB and angle C?
AB=64
angle C=32
300
How many siblings do we have when they are combined?