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Chapter 11

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If 2 sides of a triangle are radii then the triangle is ______________

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isosceles.

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Coplanar circles with the same center are _________ circles

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concentric.

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A ________ arc is less than 180 0

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minor

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A diameter that is ______to a chord bisects that chord

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perpendicular.

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Create a right triangle:.

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.

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A line that is tangent to each of 2 coplanar circles is a __________

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common tangent

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How many common tangents do the following circles have? a. b. c. d.

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a.b. c. d. four three two one

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A radius is ________ to a tangent at the point of tangency

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perpendicular.

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Tangent segments from a point outside a circle are _________

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congruent P A B PA = PB

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The sides of an INSCRIBED POLYGON are _________ of a circle

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chords

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The vertex of a CENTRAL ANGLE is on the ______ and the sides contain _______

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center… radii.

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m 1 = ____. 1 x 0

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m 1 = x. 80 o 80 o o

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The vertex of an INSCRIBED ANGLE is on the ______ and the sides contain ________

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circle… chords.

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m 1 = ______. 1 x o

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m 1 = x. 40 80 o o __ 1 2 o

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m 1 = _______ 1 x o

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m 1 = x 100 200 o 1 __ 2 o o

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m 1 = _______ 1 x y o o

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m 1 = (x + y) 60 40 80 o o 1 ___ 2 o

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m 1 = _____ xoxo yoyo 1

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m 1 = (x - y) o 100 0 20 o 40 o 1212

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An angle inscribed in a semicircle is a _______ angle

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right.

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The opposite angles of an INSCRIBED QUADRILATERAL are _________________

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supplements 1 2 3 4 m 1 + m 3 = 180 m 2 + m 4 = 180

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Complete: ( ___ )( ___ ) = ( ___ ) ( ___ ) a bc d

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( a )( b ) = ( c )( d ) 3 6 4x 3x = (4)(6) 3x = 24 x = 8

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Complete: ( ___ )( ___ ) = ( ___ )( ___ ) a b c d

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(a)(a + b) = (c)(c + d) 5 7 6 x 5 (12) = 6 (6 + x) 60 = 36 + 6x 24 = 6x 4 = x

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Complete: ( ___ )( ___ ) = ( ___ ) 2 a b c

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(a)(a + b) = (c) 2 3 9 x 3(3 + 9) = x 2 36 = x 2 6 = x

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State the center and the radius of the following circle: (x – 4) 2 + (y + 8) 2 = 49

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(x – 4) 2 + (y + 8) 2 = 7 2 Center (4, -8) Radius = 7

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Write the equation of a circle with center (-1, 3) and passing through (-4, -6)

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(x + 1) 2 + (y – 3) 2 = 90

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Given: 3x 2 - 4x + 6 a = _____ b = _____ c = _____

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a = 3 b = -4 c = 6

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COMPLETE THE QUADRATIC FORMULA: -b + 2( ) -_______________ x =

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-b + 2( ) -_______________ x = b 2 - 4ac a

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