Notes
Outline
CHAPTER 11
If 2 sides of a triangle are radii
then the triangle is ______________
isosceles
Coplanar circles with
the same center are _________ circles
concentric
A ________ arc is
less than 180
minor
A diameter that
is ______to a chord bisects that chord
perpendicular
Create a right triangle:
Slide 11
A line that is tangent to each of 2 coplanar circles is a __________
common tangent
How many common tangents
do the following circles have?
Slide 15
A radius is ________ to a tangent at the point of tangency
perpendicular
Tangent segments from a point outside a circle are _________
congruent
The sides of an INSCRIBED POLYGON are _________ of a circle
chords
The vertex of a
CENTRAL ANGLE
is on the ______ and
the sides contain _______
center… radii
m
1 = ____
m
1 = x
The vertex of an INSCRIBED ANGLE
is on the ______ and the
sides contain ________
circle… chords
m
1 = ______
m
1 =
x
m
1 = _______
m
1 =
x
m
1 = _______
m
1 =
(x + y)
m
1 = _____
m
1 =
(x - y)
o
An angle inscribed in a semicircle is a
_______ angle
right
The opposite angles of an INSCRIBED QUADRILATERAL
are _________________
supplements
Complete:
( ___ )( ___ ) = ( ___ ) ( ___ )
( a )( b ) = ( c )( d )
Complete:
( ___ )( ___ ) = ( ___ )( ___ )
(a)(a + b) = (c)(c + d)
Complete:
( ___ )( ___ ) = ( ___ )
2
(a)(a + b) = (c)
2
State the center and the radius of the following circle:
(x – 4)
2
+ (y + 8)
2
= 49
(x – 4)
2
+ (y + 8)
2
= 7
2
Center (4, -8)
Radius = 7
Write the equation of a circle with center (-1, 3) and passing through (-4, -6)
(x + 1)
2
+
(y – 3)
2
= 90
Given:
3x
2
- 4x + 6
a = _____
b = _____
c = _____
a = 3
b = -4
c = 6
COMPLETE THE
QUADRATIC FORMULA:
-b
+
2(
)
-b
+
2(
)