THEOREM 1
THEOREM 2
THEOREM 3
THEOREM 4
TERMS
100
90
100
Find m∠ADB.
62
100
Find m∠DAB in ⨀C.
90
100
Find the measures of the angle a. Use the figure on the right.
m<a = 108
100
An arc measuring one-half the circumference of a circle.
SEMICIRCLE
200
Find m∠ADB.
38
200
Find m∠ACB.
62.
200
A line segment with one endpoint in the center of the circle and one point on the circle.
What is a radius?
200
This is the relationship between opposite angles of a quadrilateral inscribed in a circle.
They are Supplementary
200
An angle formed by two rays whose vertex is the center of the circle.
CENTRAL ANGLE
300
Find the value of x in ⨀A.
51
300
This is the relationship between two adjacent arcs that cover the entire circle.
What is sum to 360 degrees?
300
This is the size of the angle inscribed in a semicircle.
right angle
300
Two chords are each measured as 36 centimeters long. One chord is 16 centimeters from the center. This is the distance the second chord is from the center.
What is 16 centimeters?
300
An angle whose vertex is on a circle and whose sides contain chords of the circle.
INSCRIBED ANGLE
400
Find the value of x in ⨀A.
46
400
Solve for x.
x = 37
400
An angle with the vertex on the circle, formed by two chords.
What is an inscribed angle?
400
The sides of an inscribed angle are ___________________.
chords
400
An arc that lies in the interior of an inscribed angle and has endpoints of the angle.
INTERCEPTED ARC
500
This is the relationship between opposite angles of a quadrilateral inscribed in a circle.
1/2 arc = angle?
500
This is the relationship between central angles and the corresponding arc formed by the radii.
What is congruent?
500
Solve for x.
x = 42
500
If a chord, measuring 20 inches, is bisected by a line segment starting at the center and the radius is 26 inches, this is the length of the line segment.
What is 24 inches?
500
State theorem 3 on inscribed angles.
If an inscribed angle of a circle intercepts a semicircle, then the angle is a right angle.