# Chapter 11. If 2 sides of a triangle are radii then the triangle is ______________.

## Presentation on theme: "Chapter 11. If 2 sides of a triangle are radii then the triangle is ______________."— Presentation transcript:

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 _______

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. 40 80 o o __ 1 2 o

m 1 = _______ 1 x o

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

m 1 = _______ 1 x y o o

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

m 1 = _____ xoxo yoyo 1

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

An angle inscribed in a semicircle is a _______ angle

right.

The opposite angles of an INSCRIBED QUADRILATERAL are _________________

supplements 1 2 3 4 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) 5 7 6 x 5 (12) = 6 (6 + x) 60 = 36 + 6x 24 = 6x 4 = x

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

(a)(a + b) = (c) 2 3 9 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

Download ppt "Chapter 11. If 2 sides of a triangle are radii then the triangle is ______________."

Similar presentations