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 0
minor
A diameter that is ______to a chord bisects that chord
perpendicular.
Create a right triangle:.
.
A line that is tangent to each of 2 coplanar circles is a __________
common tangent
How many common tangents do the following circles have? a. b. c. d.
a.b. c. d. four three two one
A radius is ________ to a tangent at the point of tangency
perpendicular.
Tangent segments from a point outside a circle are _________
congruent P A B PA = PB
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 = ____. 1 x 0
m 1 = x. 80 o 80 o o
The vertex of an INSCRIBED ANGLE is on the ______ and the sides contain ________
circle… chords.
m 1 = ______. 1 x o
m 1 = x o o __ 1 2 o
m 1 = _______ 1 x o
m 1 = x o 1 __ 2 o o
m 1 = _______ 1 x y o o
m 1 = (x + y) o o 1 ___ 2 o
m 1 = _____ xoxo yoyo 1
m 1 = (x - y) o o 40 o 1212
An angle inscribed in a semicircle is a _______ angle
right.
The opposite angles of an INSCRIBED QUADRILATERAL are _________________
supplements m 1 + m 3 = 180 m 2 + m 4 = 180
Complete: ( ___ )( ___ ) = ( ___ ) ( ___ ) a bc d
( a )( b ) = ( c )( d ) 3 6 4x 3x = (4)(6) 3x = 24 x = 8
Complete: ( ___ )( ___ ) = ( ___ )( ___ ) a b c d
(a)(a + b) = (c)(c + d) x 5 (12) = 6 (6 + x) 60 = x 24 = 6x 4 = x
Complete: ( ___ )( ___ ) = ( ___ ) 2 a b c
(a)(a + b) = (c) x 3(3 + 9) = x 2 36 = x 2 6 = x
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( ) -_______________ x =
-b + 2( ) -_______________ x = b 2 - 4ac a